Question

Which expression is equivalent to |b|>2 ?

b > –2 and b < 2


b < –2 or b > 2


b < –2 and b > 2


b > –2 or b < 2

Answer 1

b < –2 or b > 2

Explanation:

The given expresion is

`|b| \: > \: 2`

By the definition of absolute value function.

|x|=x, if x>0

|x|=-x, if x<0

This implies that:

`b \: > \: 2 \: or \: - b \: > \: 2`

Divide the second inequality by -2 and reverse the sign

`b \: > \: 2 \: or \: b \: < \: - 2`

Option B is correct