Solve for r.8∣r∣>16Write 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 r.8∣r∣>16Write 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 8: We have the inequality:8∣r∣>16First, we divide both sides of the inequality by 8 to isolate ∣r∣.88∣r∣>816∣r∣>2
Interpret absolute value: Now we interpret the absolute value inequality ∣r∣>2.This means r is either greater than 2 or less than −2.So we can write two separate inequalities:r>2 or r<−2
Express as compound inequality: We now express the solution as a compound inequality. The compound inequality is: r<−2 or r>2
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