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

Respuesta :

Answer:

[tex]-b\leq a\leq b[/tex]

Step-by-step explanation:

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

If [tex]|a| < b[/tex] then [tex]-b<a<b[/tex]

If [tex]|a| >b[/tex] then [tex]a>b[/tex] or [tex]a<-b[/tex]

These definitions apply for the inequlity signs that involve equivalence.

If [tex]|a| \leq b[/tex] then [tex]-b\leq a\leq b[/tex]

If [tex]|a| \geq b[/tex] then [tex]a\geq b[/tex] or [tex]a\leq -b[/tex]

Therefore, the expression that completes the statement is

[tex]-b\leq a\leq b[/tex]