Solve for b.∣b∣−7>−5Write 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.∣b∣−7>−5Write a compound inequality like 1<x<3 or like x<1 or x>3. Use integers, proper fractions, or improper fractions in simplest form.______
Isolate absolute value term: We have the inequality: ∣b∣−7>−5First, we need to isolate the absolute value term ∣b∣ on one side of the inequality.To do this, we add 7 to both sides of the inequality.∣b∣−7+7>−5+7∣b∣>2
Solve absolute value inequality: Now we have the absolute value inequality: ∣b∣>2This means that b is either greater than 2 or less than −2.We can split this into two separate inequalities:b>2 or b<−2This is the compound inequality that represents the solution to the original problem.
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