solve for b.\n-3|b| < -12\nwrite a compound inequality like 1 < x < 3 or like x < 1 or x > 3. use integers…

solve for b.\n-3|b| < -12\nwrite a compound inequality like 1 < x < 3 or like x < 1 or x > 3. use integers, proper fractions, or improper fractions in simplest form.

solve for b.\n-3|b| < -12\nwrite a compound inequality like 1 < x < 3 or like x < 1 or x > 3. use integers, proper fractions, or improper fractions in simplest form.

Answer

Explanation:

Step1: Divide both sides by -3

When dividing an inequality by a negative number, the inequality sign flips. So, (\frac{-3|b|}{-3}>\frac{-12}{-3}), which simplifies to (|b| > 4).

Step2: Solve the absolute - value inequality

The absolute - value inequality (|b|>4) means that (b) is either greater than 4 or less than - 4. Mathematically, if (|x|>a) ((a>0)), then (x > a) or (x<-a). Here (x = b) and (a = 4).

Answer:

(b < - 4) or (b>4)