Find the given statement is true or false.

Expert Solution & Answer

Answer to Problem 112E

The given equation is true.

Explanation of Solution

Given:

The statement "if –2<x<–1 then 1<–x<2 ".

Consider the statement "if –2<x<–1 then 1<–x<2 ".

Multiply all sides of inequality –2<x<–1 by −1 as shown below.

−1⋅(−2)<−1⋅(x)<(−1)⋅(−1)

2>–x>1 [Reverse the side]

1<–x<2

Therefore, the statement is true.

Chapter A.6, Problem 111E

Chapter A.6, Problem 113E

Chapter A Solutions

EBK PRECALCULUS W/LIMITS

Ch. A.1 - Prob. 1E Ch. A.1 - Prob. 2E Ch. A.1 - Prob. 3E Ch. A.1 - Prob. 4E Ch. A.1 - Prob. 5E Ch. A.1 - Prob. 6E Ch. A.1 - Prob. 7E Ch. A.1 - Prob. 8E Ch. A.1 - Prob. 9E Ch. A.1 - Prob. 10E

Ch. A.1 - Prob. 11E Ch. A.1 - Prob. 12E Ch. A.1 - Prob. 13E Ch. A.1 - Prob. 14E Ch. A.1 - Prob. 15E Ch. A.1 - Prob. 16E Ch. A.1 - Prob. 17E Ch. A.1 - Prob. 18E Ch. A.1 - Prob. 19E Ch. A.1 - Prob. 20E Ch. A.1 - Prob. 21E Ch. A.1 - Prob. 22E Ch. A.1 - Prob. 23E Ch. A.1 - Prob. 24E Ch. A.1 - Prob. 25E Ch. A.1 - Prob. 26E Ch. A.1 - Prob. 27E Ch. A.1 - Prob. 28E Ch. A.1 - Prob. 29E Ch. A.1 - Prob. 30E Ch. A.1 - Prob. 31E Ch. A.1 - Prob. 32E Ch. A.1 - Prob. 33E Ch. A.1 - Prob. 34E Ch. A.1 - Prob. 35E Ch. A.1 - Prob. 36E Ch. A.1 - Prob. 37E Ch. A.1 - Prob. 38E Ch. A.1 - Prob. 39E Ch. A.1 - Prob. 40E Ch. A.1 - Prob. 41E Ch. A.1 - Prob. 42E Ch. A.1 - Prob. 43E Ch. A.1 - Prob. 44E Ch. A.1 - Prob. 45E Ch. A.1 - Prob. 46E Ch. A.1 - Prob. 47E Ch. A.1 - Prob. 48E Ch. A.1 - Prob. 49E Ch. A.1 - Prob. 50E Ch. A.1 - Prob. 51E Ch. A.1 - Prob. 52E Ch. A.1 - Prob. 53E Ch. A.1 - Prob. 54E Ch. A.1 - Prob. 55E Ch. A.1 - Prob. 56E Ch. A.1 - Prob. 57E Ch. A.1 - Prob. 58E Ch. A.1 - Prob. 59E Ch. A.1 - Prob. 60E Ch. A.1 - Prob. 61E Ch. A.1 - Prob. 62E Ch. A.1 - Prob. 63E Ch. A.1 - Prob. 64E Ch. A.1 - Prob. 65E Ch. A.1 - Prob. 66E Ch. A.1 - Prob. 67E Ch. A.1 - Prob. 68E Ch. A.1 - Prob. 69E Ch. A.1 - Prob. 70E Ch. A.1 - Prob. 71E Ch. A.1 - Prob. 72E Ch. A.1 - Prob. 73E Ch. A.1 - Prob. 74E Ch. A.1 - Prob. 75E Ch. A.1 - Prob. 76E Ch. A.1 - Prob. 77E Ch. A.2 - Prob. 1E Ch. A.2 - Prob. 2E Ch. A.2 - Prob. 3E Ch. A.2 - Prob. 4E Ch. A.2 - Prob. 5E Ch. A.2 - Prob. 6E Ch. A.2 - Prob. 7E Ch. A.2 - Prob. 8E Ch. A.2 - Prob. 9E Ch. A.2 - Prob. 10E Ch. A.2 - Prob. 11E Ch. A.2 - Prob. 12E Ch. A.2 - Prob. 13E Ch. A.2 - Prob. 14E Ch. A.2 - Prob. 15E Ch. A.2 - Prob. 16E Ch. A.2 - Prob. 17E Ch. A.2 - Prob. 18E Ch. A.2 - Prob. 19E Ch. A.2 - Prob. 20E Ch. A.2 - Prob. 21E Ch. A.2 - Prob. 22E Ch. A.2 - Prob. 23E Ch. A.2 - Prob. 24E Ch. A.2 - Prob. 25E Ch. A.2 - Prob. 26E Ch. A.2 - Prob. 27E Ch. A.2 - Prob. 28E Ch. A.2 - Prob. 29E Ch. A.2 - Prob. 30E Ch. A.2 - Prob. 31E Ch. A.2 - Prob. 32E Ch. A.2 - Prob. 33E Ch. A.2 - Prob. 34E Ch. A.2 - Prob. 35E Ch. A.2 - Prob. 36E Ch. A.2 - Prob. 37E Ch. A.2 - Prob. 38E Ch. A.2 - Prob. 39E Ch. A.2 - Prob. 40E Ch. A.2 - Prob. 41E Ch. A.2 - Prob. 42E Ch. A.2 - Prob. 43E Ch. A.2 - Prob. 44E Ch. A.2 - Prob. 45E Ch. A.2 - Prob. 46E Ch. A.2 - Prob. 47E Ch. A.2 - Prob. 48E Ch. A.2 - Prob. 49E Ch. A.2 - Prob. 50E Ch. A.2 - Prob. 51E Ch. A.2 - Prob. 52E Ch. A.2 - Prob. 53E Ch. A.2 - Prob. 54E Ch. A.2 - Prob. 55E Ch. A.2 - Prob. 56E Ch. A.2 - Prob. 57E Ch. A.2 - Prob. 58E Ch. A.2 - Prob. 59E Ch. A.2 - Prob. 60E Ch. A.2 - Prob. 61E Ch. A.2 - Prob. 62E Ch. A.2 - Prob. 63E Ch. A.2 - Prob. 64E Ch. A.2 - Prob. 65E Ch. A.2 - Prob. 66E Ch. A.2 - Prob. 67E Ch. A.2 - Prob. 68E Ch. A.2 - Prob. 69E Ch. A.2 - Prob. 70E Ch. A.2 - Prob. 71E Ch. A.2 - Prob. 72E Ch. A.2 - Prob. 73E Ch. A.2 - Prob. 74E Ch. A.3 - Prob. 1E Ch. A.3 - Prob. 2E Ch. A.3 - Prob. 3E Ch. A.3 - Prob. 4E Ch. A.3 - Prob. 5E Ch. A.3 - Prob. 6E Ch. A.3 - Prob. 7E Ch. A.3 - Prob. 8E Ch. A.3 - Prob. 9E Ch. A.3 - Prob. 10E Ch. A.3 - Prob. 11E Ch. A.3 - Prob. 12E Ch. A.3 - Prob. 13E Ch. A.3 - Prob. 14E Ch. A.3 - Prob. 15E Ch. A.3 - Prob. 16E Ch. A.3 - Prob. 17E Ch. A.3 - Prob. 18E Ch. A.3 - Prob. 19E Ch. A.3 - Prob. 20E Ch. A.3 - Prob. 21E Ch. A.3 - Prob. 22E Ch. A.3 - Prob. 23E Ch. A.3 - Prob. 24E Ch. A.3 - Prob. 25E Ch. A.3 - Prob. 26E Ch. A.3 - Prob. 27E Ch. A.3 - Prob. 28E Ch. A.3 - Prob. 29E Ch. A.3 - Prob. 30E Ch. A.3 - Prob. 31E Ch. A.3 - Prob. 32E Ch. A.3 - Prob. 33E Ch. A.3 - Prob. 34E Ch. A.3 - Prob. 35E Ch. A.3 - Prob. 36E Ch. A.3 - Prob. 37E Ch. A.3 - Prob. 38E Ch. A.3 - Prob. 39E Ch. A.3 - Prob. 40E Ch. A.3 - Prob. 41E Ch. A.3 - Prob. 42E Ch. A.3 - Prob. 43E Ch. A.3 - Prob. 44E Ch. A.3 - Prob. 45E Ch. A.3 - Prob. 46E Ch. A.3 - Prob. 47E Ch. A.3 - Prob. 48E Ch. A.3 - Prob. 49E Ch. A.3 - Prob. 50E Ch. A.3 - Prob. 51E Ch. A.3 - Prob. 52E Ch. A.3 - Prob. 53E Ch. A.3 - Prob. 54E Ch. A.3 - Prob. 55E Ch. A.3 - Prob. 56E Ch. A.3 - Prob. 57E Ch. A.3 - Prob. 58E Ch. A.3 - Prob. 59E Ch. A.3 - Prob. 60E Ch. A.3 - Prob. 61E Ch. A.3 - Prob. 62E Ch. A.3 - Prob. 63E Ch. A.3 - Prob. 64E Ch. A.3 - Prob. 65E Ch. A.3 - Prob. 66E Ch. A.3 - Prob. 67E Ch. A.3 - Prob. 68E Ch. A.3 - Prob. 69E Ch. A.3 - Prob. 70E Ch. A.3 - Prob. 71E Ch. A.3 - Prob. 72E Ch. A.3 - Prob. 73E Ch. A.3 - Prob. 74E Ch. A.3 - Prob. 75E Ch. A.3 - Prob. 76E Ch. A.3 - Prob. 77E Ch. A.3 - Prob. 78E Ch. A.3 - Prob. 79E Ch. A.3 - Prob. 80E Ch. A.3 - Prob. 81E Ch. A.3 - Prob. 82E Ch. A.3 - Prob. 83E Ch. A.3 - Prob. 84E Ch. A.3 - Prob. 85E Ch. A.3 - Prob. 86E Ch. A.3 - Prob. 87E Ch. A.3 - Prob. 88E Ch. A.3 - Prob. 89E Ch. A.3 - Prob. 90E Ch. A.3 - Prob. 91E Ch. A.3 - Prob. 92E Ch. A.3 - Prob. 93E Ch. A.3 - Prob. 94E Ch. A.3 - Prob. 95E Ch. A.3 - Prob. 96E Ch. A.4 - Prob. 1E Ch. A.4 - Prob. 2E Ch. A.4 - Prob. 3E Ch. A.4 - Prob. 4E Ch. A.4 - Prob. 5E Ch. A.4 - Prob. 6E Ch. A.4 - Prob. 7E Ch. A.4 - Prob. 8E Ch. A.4 - Prob. 9E Ch. A.4 - Prob. 10E Ch. A.4 - Prob. 11E Ch. A.4 - Prob. 12E Ch. A.4 - Prob. 13E Ch. A.4 - Prob. 14E Ch. A.4 - Prob. 15E Ch. A.4 - Prob. 16E Ch. A.4 - Prob. 17E Ch. A.4 - Prob. 18E Ch. A.4 - Prob. 19E Ch. A.4 - Prob. 20E Ch. A.4 - Prob. 21E Ch. A.4 - Prob. 22E Ch. A.4 - Prob. 23E Ch. A.4 - Prob. 24E Ch. A.4 - Prob. 25E Ch. A.4 - Prob. 26E Ch. A.4 - Prob. 27E Ch. A.4 - Prob. 28E Ch. A.4 - Prob. 29E Ch. A.4 - Prob. 30E Ch. A.4 - Prob. 31E Ch. A.4 - Prob. 32E Ch. A.4 - Prob. 33E Ch. A.4 - Prob. 34E Ch. A.4 - Prob. 35E Ch. A.4 - Prob. 36E Ch. A.4 - Prob. 37E Ch. A.4 - Prob. 38E Ch. A.4 - Prob. 39E Ch. A.4 - Prob. 40E Ch. A.4 - Prob. 41E Ch. A.4 - Prob. 42E Ch. A.4 - Prob. 43E Ch. A.4 - Prob. 44E Ch. A.4 - Prob. 45E Ch. A.4 - Prob. 46E Ch. A.4 - Prob. 47E Ch. A.4 - Prob. 48E Ch. A.4 - Prob. 49E Ch. A.4 - Prob. 50E Ch. A.4 - Prob. 51E Ch. A.4 - Prob. 52E Ch. A.4 - Prob. 53E Ch. A.4 - Prob. 54E Ch. A.4 - Prob. 55E Ch. A.4 - Prob. 56E Ch. A.4 - Prob. 57E Ch. A.4 - Prob. 58E Ch. A.4 - Prob. 59E Ch. A.4 - Prob. 60E Ch. A.4 - Prob. 61E Ch. A.4 - Prob. 62E Ch. A.4 - Prob. 63E Ch. A.4 - Prob. 64E Ch. A.4 - Prob. 65E Ch. A.4 - Prob. 66E Ch. A.4 - Prob. 67E Ch. A.4 - Prob. 68E Ch. A.4 - Prob. 69E Ch. A.4 - Prob. 70E Ch. A.4 - Prob. 71E Ch. A.4 - Prob. 72E Ch. A.4 - Prob. 73E Ch. A.4 - Prob. 74E Ch. A.4 - Prob. 75E Ch. A.4 - Prob. 76E Ch. A.4 - Prob. 77E Ch. A.4 - Prob. 78E Ch. A.4 - Prob. 79E Ch. A.4 - Prob. 80E Ch. A.5 - Prob. 1E Ch. A.5 - Prob. 2E Ch. A.5 - Prob. 3E Ch. A.5 - Prob. 4E Ch. A.5 - Prob. 5E Ch. A.5 - Prob. 6E Ch. A.5 - Prob. 7E Ch. A.5 - Prob. 8E Ch. A.5 - Prob. 9E Ch. A.5 - Prob. 10E Ch. A.5 - Prob. 11E Ch. A.5 - Prob. 12E Ch. A.5 - Prob. 13E Ch. A.5 - Prob. 14E Ch. A.5 - Prob. 15E Ch. A.5 - Prob. 16E Ch. A.5 - Prob. 17E Ch. A.5 - Prob. 18E Ch. A.5 - Prob. 19E Ch. A.5 - Prob. 20E Ch. A.5 - Prob. 21E Ch. A.5 - Prob. 22E Ch. A.5 - Prob. 23E Ch. A.5 - Prob. 24E Ch. A.5 - Prob. 25E Ch. A.5 - Prob. 26E Ch. A.5 - Prob. 27E Ch. A.5 - Prob. 28E Ch. A.5 - Prob. 29E Ch. A.5 - Prob. 30E Ch. A.5 - Prob. 31E Ch. A.5 - Prob. 32E Ch. A.5 - Prob. 33E Ch. A.5 - Prob. 34E Ch. A.5 - Prob. 35E Ch. A.5 - Prob. 36E Ch. A.5 - Prob. 37E Ch. A.5 - Prob. 38E Ch. A.5 - Prob. 39E Ch. A.5 - Prob. 40E Ch. A.5 - Prob. 41E Ch. A.5 - Prob. 42E Ch. A.5 - Prob. 43E Ch. A.5 - Prob. 44E Ch. A.5 - Prob. 45E Ch. A.5 - Prob. 46E Ch. A.5 - Prob. 47E Ch. A.5 - Prob. 48E Ch. A.5 - Prob. 49E Ch. A.5 - Prob. 50E Ch. A.5 - Prob. 51E Ch. A.5 - Prob. 52E Ch. A.5 - Prob. 53E Ch. A.5 - Prob. 54E Ch. A.5 - Prob. 55E Ch. A.5 - Prob. 56E Ch. A.5 - Prob. 57E Ch. A.5 - Prob. 58E Ch. A.5 - Prob. 59E Ch. A.5 - Prob. 60E Ch. A.5 - Prob. 61E Ch. A.5 - Prob. 62E Ch. A.5 - Prob. 63E Ch. A.5 - Prob. 64E Ch. A.5 - Prob. 65E Ch. A.5 - Prob. 66E Ch. A.5 - Prob. 67E Ch. A.5 - Prob. 68E Ch. A.5 - Prob. 69E Ch. A.5 - Prob. 70E Ch. A.5 - Prob. 71E Ch. A.5 - Prob. 72E Ch. A.5 - Prob. 73E Ch. A.5 - Prob. 74E Ch. A.5 - Prob. 75E Ch. A.5 - Prob. 76E Ch. A.5 - Prob. 77E Ch. A.5 - Prob. 78E Ch. A.5 - Prob. 79E Ch. A.5 - Prob. 80E Ch. A.5 - Prob. 81E Ch. A.5 - Prob. 82E Ch. A.5 - Prob. 83E Ch. A.5 - Prob. 84E Ch. A.5 - Prob. 85E Ch. A.5 - Prob. 86E Ch. A.5 - Prob. 87E Ch. A.5 - Prob. 88E Ch. A.5 - Prob. 89E Ch. A.5 - Prob. 90E Ch. A.5 - Prob. 91E Ch. A.5 - Prob. 92E Ch. A.5 - Prob. 93E Ch. A.5 - Prob. 94E Ch. A.5 - Prob. 95E Ch. A.5 - Prob. 96E Ch. A.5 - Prob. 97E Ch. A.5 - Prob. 98E Ch. A.5 - Prob. 99E Ch. A.5 - Prob. 100E Ch. A.6 - Prob. 1E Ch. A.6 - Prob. 2E Ch. A.6 - Prob. 3E Ch. A.6 - Prob. 4E Ch. A.6 - Prob. 5E Ch. A.6 - Prob. 6E Ch. A.6 - Prob. 7E Ch. A.6 - Prob. 8E Ch. A.6 - Prob. 9E Ch. A.6 - Prob. 10E Ch. A.6 - Prob. 11E Ch. A.6 - Prob. 12E Ch. A.6 - Prob. 13E Ch. A.6 - Prob. 14E Ch. A.6 - Prob. 15E Ch. A.6 - Prob. 16E Ch. A.6 - Prob. 17E Ch. A.6 - Prob. 18E Ch. A.6 - Prob. 19E Ch. A.6 - Prob. 20E Ch. A.6 - Prob. 21E Ch. A.6 - Prob. 22E Ch. A.6 - Prob. 23E Ch. A.6 - Prob. 24E Ch. A.6 - Prob. 25E Ch. A.6 - Prob. 26E Ch. A.6 - Prob. 27E Ch. A.6 - Prob. 28E Ch. A.6 - Prob. 29E Ch. A.6 - Prob. 30E Ch. A.6 - Prob. 31E Ch. A.6 - Prob. 32E Ch. A.6 - Prob. 33E Ch. A.6 - Prob. 34E Ch. A.6 - Prob. 35E Ch. A.6 - Prob. 36E Ch. A.6 - Prob. 37E Ch. A.6 - Prob. 38E Ch. A.6 - Prob. 39E Ch. A.6 - Prob. 40E Ch. A.6 - Prob. 41E Ch. A.6 - Prob. 42E Ch. A.6 - Prob. 43E Ch. A.6 - Prob. 44E Ch. A.6 - Prob. 45E Ch. A.6 - Prob. 46E Ch. A.6 - Prob. 47E Ch. A.6 - Prob. 48E Ch. A.6 - Prob. 49E Ch. A.6 - Prob. 50E Ch. A.6 - Prob. 51E Ch. A.6 - Prob. 52E Ch. A.6 - Prob. 53E Ch. A.6 - Prob. 54E Ch. A.6 - Prob. 55E Ch. A.6 - Prob. 56E Ch. A.6 - Prob. 57E Ch. A.6 - Prob. 58E Ch. A.6 - Prob. 59E Ch. A.6 - Prob. 60E Ch. A.6 - Prob. 61E Ch. A.6 - Prob. 62E Ch. A.6 - Prob. 63E Ch. A.6 - Prob. 64E Ch. A.6 - Prob. 65E Ch. A.6 - Prob. 66E Ch. A.6 - Prob. 67E Ch. A.6 - Prob. 68E Ch. A.6 - Prob. 69E Ch. A.6 - Prob. 70E Ch. A.6 - Prob. 71E Ch. A.6 - Prob. 72E Ch. A.6 - Prob. 73E Ch. A.6 - Prob. 74E Ch. A.6 - Prob. 75E Ch. A.6 - Prob. 76E Ch. A.6 - Prob. 77E Ch. A.6 - Prob. 78E Ch. A.6 - Prob. 79E Ch. A.6 - Prob. 80E Ch. A.6 - Prob. 81E Ch. A.6 - Prob. 82E Ch. A.6 - Prob. 83E Ch. A.6 - Prob. 84E Ch. A.6 - Prob. 85E Ch. A.6 - Prob. 86E Ch. A.6 - Prob. 87E Ch. A.6 - Prob. 88E Ch. A.6 - Prob. 89E Ch. A.6 - Prob. 90E Ch. A.6 - Prob. 91E Ch. A.6 - Prob. 92E Ch. A.6 - Prob. 93E Ch. A.6 - Prob. 94E Ch. A.6 - Prob. 95E Ch. A.6 - Prob. 96E Ch. A.6 - Prob. 97E Ch. A.6 - Prob. 98E Ch. A.6 - Prob. 99E Ch. A.6 - Prob. 100E Ch. A.6 - Prob. 101E Ch. A.6 - Prob. 102E Ch. A.6 - Prob. 103E Ch. A.6 - Prob. 104E Ch. A.6 - Prob. 105E Ch. A.6 - Prob. 106E Ch. A.6 - Prob. 107E Ch. A.6 - Prob. 108E Ch. A.6 - Prob. 109E Ch. A.6 - Prob. 110E Ch. A.6 - Prob. 111E Ch. A.6 - Prob. 112E Ch. A.6 - Prob. 113E Ch. A.6 - Prob. 114E Ch. A.6 - Prob. 115E Ch. A.7 - Prob. 1E Ch. A.7 - Prob. 2E Ch. A.7 - Prob. 3E Ch. A.7 - Prob. 4E Ch. A.7 - Prob. 5E Ch. A.7 - Prob. 6E Ch. A.7 - Prob. 7E Ch. A.7 - Prob. 8E Ch. A.7 - Prob. 9E Ch. A.7 - Prob. 10E Ch. A.7 - Prob. 11E Ch. A.7 - Prob. 12E Ch. A.7 - Prob. 13E Ch. A.7 - Prob. 14E Ch. A.7 - Prob. 15E Ch. A.7 - Prob. 16E Ch. A.7 - Prob. 17E Ch. A.7 - Prob. 18E Ch. A.7 - Prob. 19E Ch. A.7 - Prob. 20E Ch. A.7 - Prob. 21E Ch. A.7 - Prob. 22E Ch. A.7 - Prob. 23E Ch. A.7 - Prob. 24E Ch. A.7 - Prob. 25E Ch. A.7 - Prob. 26E Ch. A.7 - Prob. 27E Ch. A.7 - Prob. 28E Ch. A.7 - Prob. 29E Ch. A.7 - Prob. 30E Ch. A.7 - Prob. 31E Ch. A.7 - Prob. 32E Ch. A.7 - Prob. 33E Ch. A.7 - Prob. 34E Ch. A.7 - Prob. 35E Ch. A.7 - Prob. 36E Ch. A.7 - Prob. 37E Ch. A.7 - Prob. 38E Ch. A.7 - Prob. 39E Ch. A.7 - Prob. 40E Ch. A.7 - Prob. 41E Ch. A.7 - Prob. 42E Ch. A.7 - Prob. 43E Ch. A.7 - Prob. 44E Ch. A.7 - Prob. 45E Ch. A.7 - Prob. 46E Ch. A.7 - Prob. 47E Ch. A.7 - Prob. 48E Ch. A.7 - Prob. 49E Ch. A.7 - Prob. 50E Ch. A.7 - Prob. 51E Ch. A.7 - Prob. 52E Ch. A.7 - Prob. 53E Ch. A.7 - Prob. 54E Ch. A.7 - Prob. 55E Ch. A.7 - Prob. 56E Ch. A.7 - Prob. 57E Ch. A.7 - Prob. 58E Ch. A.7 - Prob. 59E Ch. A.7 - Prob. 60E Ch. A.7 - Prob. 61E Ch. A.7 - Prob. 62E

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