Question

Select all the correct answers.

Which four inequalities can be used to find the solution to this absolute value inequality?
3 ≤ x + 2 ≤ 6


x + 2 ≤ 6

x + 2 ≥ -6

x + 2-3

|x ≥ 1

|x + 2 ≤ -3

x + 22 -6

x + 2 ≥ 3

|x ≤ 4

Answer 1

Explanation:

x + 2-3

|x ≥ 1

|x + 2 ≤ -3

x + 22 -6

Answer 2

The four correct inequalities that can be used to find the solution to the absolute value inequality 3 ≤ x + 2 ≤ 6 are:

1. x + 2 ≤ 6
2. x + 2 ≥ -6
3. x ≥ 1
4. |x ≤ 4

These four inequalities cover all possible cases and combinations to represent the solution to the given absolute value inequality.