Explanation Given: The compound inequality − 2 < − x − 12 a n d − 14 < 5 ( x − 3 ) + 6 x A compound linear inequality is one that has two inequalities in one problem connected by a word “and”/ “or” We need to solve them exactly the same way how we solve linear inequalities, that is we need to UNDO whatever is done to x by performing the reverse operation. Whatever you do to one side of the inequality, you need to do the same in the other side too. The solution of a compound inequality that consists of two inequalities joined with the word “and” is the intersection of the solutions of each inequality. In other words, both statements must be true at the same time. The solution to an “and” compound inequality are all the solutions that the two inequalities have in common. Graphically, you can think about it as where the two graphs overlap. Another way of showing “and” compound inequality symbolically, is like a < x < b Calculation: Description − 2 < − x − 12 a n d − 14 < 5 ( x − 3 ) + 6 x Step 1: In an attempt of getting x alone in one side of the inequality add 12 and divide − 1 to the inequality − 2 < − x − 12 and add 15 and divide 11 to the inequality − 14 < 5 ( x − 3 ) + 6 x to both sides of both the inequalities to get..

5th Edition

ISBN: 9781260147131

Author: Miller

Publisher: MCG

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Chapter 1.5, Problem 35PE

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The solution for the compound inequality represented as an interval notation and graphically

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Chapter 1 Solutions

INTERM ALGEBRA LL + ALEKS 360

Ch. 1.1 - An ________ is a statement that indicates that two...Ch. 1.1 - Apply the distributive property. 12(6x8y+10)Ch. 1.1 - Prob. 3PE Ch. 1.1 - Prob. 4PE Ch. 1.1 - Clear the parentheses and combine like terms in...Ch. 1.1 - Clear the parentheses and combine like terms in...Ch. 1.1 - Prob. 7PE Ch. 1.1 - Prob. 8PE Ch. 1.1 - 9. Label the equation as linear or nonlinear Ch. 1.1 - Label the equation 3+x3x=4 as linear or nonlinear

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