Solve for b. -3|b| < -3Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3. Use integers, proper fractions, or improper fractions in simplest form.______
Q. Solve for b. −3∣b∣<−3Write a compound inequality like 1<x<3 or like x<1 or x>3. Use integers, proper fractions, or improper fractions in simplest form.______
Divide by −3: We have the inequality:-3|b| < -3First, we divide both sides of the inequality by −3 to solve for ∣b∣. Remember that dividing by a negative number reverses the inequality sign.-\frac{3|b|}{-3} > -\frac{3}{3}|b| > 1
Interpret absolute value inequality: Now we interpret the absolute value inequality |b| > 1. This means that b is either greater than 1 or less than −1. So we can write the compound inequality as: b > 1 or b < -1
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