solve each inequality. graph the solutions. 13. -6 + 2a ≥ 22 or 10 + 3a ≤ 22 14. 4n - 5 ≥ 23 or n - 2 ≤ 1…

solve each inequality. graph the solutions. 13. -6 + 2a ≥ 22 or 10 + 3a ≤ 22 14. 4n - 5 ≥ 23 or n - 2 ≤ 1 15. 7x - 6 ≥ 43 or 10x + 4 < -76 16. -18 < 9m ≤ -54 17. p + 10 > 7 or -9p > -45 18. 5m - 10 ≤ -45 and -1 - m ≥ 19. 52 < 4 + 6x ≤ 64 20. -5x - 4 > 36 or 3 - 7x ≤ 24 21. 3 + 2n ≤ -3 and 1 - 3n < 19 22. 5 - 10x ≤ 45 or x + 4 < -1

solve each inequality. graph the solutions. 13. -6 + 2a ≥ 22 or 10 + 3a ≤ 22 14. 4n - 5 ≥ 23 or n - 2 ≤ 1 15. 7x - 6 ≥ 43 or 10x + 4 < -76 16. -18 < 9m ≤ -54 17. p + 10 > 7 or -9p > -45 18. 5m - 10 ≤ -45 and -1 - m ≥ 19. 52 < 4 + 6x ≤ 64 20. -5x - 4 > 36 or 3 - 7x ≤ 24 21. 3 + 2n ≤ -3 and 1 - 3n < 19 22. 5 - 10x ≤ 45 or x + 4 < -1

Answer

Explanation:

Step1: Solve -6 + 2a ≥ 22

Add 6 to both sides: $2a\geq22 + 6$, so $2a\geq28$. Then divide both sides by 2: $a\geq14$.

Step2: Solve 10 + 3a ≤ 22

Subtract 10 from both sides: $3a\leq22 - 10$, so $3a\leq12$. Then divide both sides by 3: $a\leq4$.

Answer:

$a\geq14$ or $a\leq4$