Question

If the given absolute value inequality is a less than or less than or equal to statement, then the answer will be _____________.

Answer 1

`-b\leq a\leq b`

Explanation:

When we have absolute value inequalities, there are specific way to find the solution sets.

If
`|a| < b` then
`-b<a<b`

If
`|a| >b` then
`a>b` or
`a<-b`

These definitions apply for the inequlity signs that involve equivalence.

If
`|a| \leq b` then
`-b\leq a\leq b`

If
`|a| \geq b` then
`a\geq b` or
`a\leq -b`

Therefore, the expression that completes the statement is

`-b\leq a\leq b`