Question

Which compound inequality is equivalent to the absolute value inequality |b| greater than 6? –6 > b and b > 6 b > –6 or b < 6 –6 < b and b > 6 b < –6 or b > 6

Answer 1

I think it is D (and)

Explanation:

"Or" means that the b value can be less than -6 or greater than 6

so it could satisfy either one

so if you plug in a value that satifies one of the inequalities (ex: -7)

|-7|>6 and it works!

Answer 2

The correct inequality is: b< -6 or b > 6

Explanation:

The absolute value operator always results in a positive number, in such a way that if b > 0, then |b| = b, while if b < 0, then |b| = -b. With this in mind, let's look at the inequality given:

|b| > 6

This will be true for values of b that are greater than 6 and values of b that are less than -6, due to the absolute value operator. Therefore the compound inequality that represents this situation is:

b< -6 or b > 6