solve the following compound inequality. 18r + 6 < 24 or 7r - 9 > 12 r < ? or r >
solve the following compound inequality. 18r + 6 < 24 or 7r - 9 > 12 r < ? or r >
Answer
Explanation:
Step1: Solve the first inequality
Subtract 6 from both sides of (18r + 6<24): (18r+6 - 6<24 - 6), which simplifies to (18r<18). Then divide both sides by 18: (r < \frac{18}{18}), so (r<1).
Step2: Solve the second inequality
Add 9 to both sides of (7r - 9>12): (7r-9 + 9>12 + 9), which simplifies to (7r>21). Then divide both sides by 7: (r>\frac{21}{7}), so (r > 3).
Answer:
(r<1) OR (r>3)