x + x> x

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
33. x>-
34 x + x> x
35. x' x
36 x + y = lx + Iy|
37. -x< x
(x+ 1)(x-1)
38.
= x + 1
Hint: Division by zero is
(x - 1)
undefined.
39. If the sum of two natural numbers is even, then the
product of the two natural numbers is even.
40. If the product of two natural numbers is even, then
both of the numbers are even numbers.
41. Pick any three-digit counting number. Reverse the
digits of the original number. The difference of these
two numbers has a tens digit of 9.
42. If a counting number with two or more digits remains
the same with its digits reversed, then the counting
number is a multiple of 11.
43. Use deductive reasoning to show that the following
procedure always produces a number that is equal to
the original number.
Procedure: Pick a number. Multiply the number by 6
and add 8. Divide the sum by 2, subtract twice the
originai number, and subtract 4.
44. Use deductive reasoning to show that the following
procedure always produces the number 5.
Procedure: Pick a number. Add 4 to the number and
multiply the sum by 3. Subtract 7 and then decrease
this difference by the triple of the original number.
45. Stocks Each of four siblings (Anita, Tony, Maria,
and Jose) is given $5000 to invest in the stock mar-
ket. Each chooses a different stock. One chooses a
utility stock, another an automotive stock, another a
technology stock, and the other an oil stock. From
Transcribed Image Text:33. x>- 34 x + x> x 35. x' x 36 x + y = lx + Iy| 37. -x< x (x+ 1)(x-1) 38. = x + 1 Hint: Division by zero is (x - 1) undefined. 39. If the sum of two natural numbers is even, then the product of the two natural numbers is even. 40. If the product of two natural numbers is even, then both of the numbers are even numbers. 41. Pick any three-digit counting number. Reverse the digits of the original number. The difference of these two numbers has a tens digit of 9. 42. If a counting number with two or more digits remains the same with its digits reversed, then the counting number is a multiple of 11. 43. Use deductive reasoning to show that the following procedure always produces a number that is equal to the original number. Procedure: Pick a number. Multiply the number by 6 and add 8. Divide the sum by 2, subtract twice the originai number, and subtract 4. 44. Use deductive reasoning to show that the following procedure always produces the number 5. Procedure: Pick a number. Add 4 to the number and multiply the sum by 3. Subtract 7 and then decrease this difference by the triple of the original number. 45. Stocks Each of four siblings (Anita, Tony, Maria, and Jose) is given $5000 to invest in the stock mar- ket. Each chooses a different stock. One chooses a utility stock, another an automotive stock, another a technology stock, and the other an oil stock. From
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