Question

Which compound inequality is equivalent to the absolute value inequality |b| > 6

Answer 1

|b| is equivalent to compound
b where b >= 0 and
-b where b < 0

|b| > 6 is equivalent to compound
b > 6 where b >= 0 and
-b > 6 or b < -6 where b < 0

Answer 2

we have

$\left|b\right|>6$

we know that

The absolute value inequality is equal to

1) $b> 6$

when

 b is positive-----> +b

and

2)  $-b> 6$-------> $b < -6$

when

b is negative------> -b

therefore

the answer is

the compound inequality is

$b> 6 \\b < -6$