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 6 b 6

I think it is D (and)

Step-by-step 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!

The correct inequality is: b 6

Step-by-step 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