Question

PLEASE HELP

Write the absolute value equations in the form
|x−b|
=c (where b is a number and c can be either number or an expression) that have the following solution sets:
h
All numbers such that x≤5.

Answer 1

Explanation:

Read this is as "x is 5 units away from _____ on a number line?" We don't have a number that x is 5 units away from, so that number is just 0. The absolute value inequality is

| x - 0 | ≤ 5

If you were to take this expression out of the absolute value symbols and put it into an inequality statement, because it is a "less than or equal to" inequality, that makes this a conjunction, and

-5 ≤ x ≤ 5

because those numbers greater than -5 and less than 5 are all less than 5 units away from 0.

Answer 2

|x-5|=(-x+5)

Explanation: