Solve the inequality. Write the solution in interval notation.

Question

StartAbsoluteValue 8 minus 7 x EndAbsoluteValue less than or equals 15
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Part 1
Select the correct choice​ below, and fill in the answer box if necessary.
A.
The solution set is enter your response here
.
​(Type your answer in interval notation. Use integers or fractions for any numbers in the​ expression.)

Answer 1

The solution set is (-∞, ∞).

Answer 2

no

Answer 3

I apologize for the mistake. Let's solve the inequality step by step:

|8 - 7x| ≤ 15

We can break this inequality into two separate inequalities:

8 - 7x ≤ 15 and 8 - 7x ≥ -15

Solving the first inequality:

8 - 7x ≤ 15
-7x ≤ 7
x ≥ -1

Solving the second inequality:

8 - 7x ≥ -15
-7x ≥ -23
x ≤ 23/7

Since |8 - 7x| can be less than or equal to 15 if x is greater than or equal to -1 or less than or equal to 23/7, the solution set is (-∞, -1] U [23/7, ∞).