Question

1. $0geq7n$
2. $\frac{m}{5}geq - 5$
3. $-13x < - 156$
4. $32geq - 16p$
5. $-8>v - 3$
6. $11leq5 + x$
7. $25geq n + 13$
8. $-168>-12a$
9. $-3leq x - 4$
10. $\frac{r}{3}>6$
11. $12ngeq84$
12. $-22>-10 + b$

Explanation:

Step1: Solve 0 ≥ 7n

Divide both sides by 7, we get $n\leq0$.

Step2: Solve $\frac{m}{5}\geq - 5$

Multiply both sides by 5, we get $m\geq - 25$.

Step3: Solve - 13x < - 156

Divide both sides by - 13 and reverse the inequality sign, we get $x>12$.

Step4: Solve 32 ≥ - 16p

Divide both sides by - 16 and reverse the inequality sign, we get $p\geq - 2$.

Step5: Solve - 8 > v - 3

Add 3 to both sides, we get $v<-5$.

Step6: Solve 11 ≤ 5 + x

Subtract 5 from both sides, we get $x\geq6$.

Step7: Solve 25 ≥ n + 13

Subtract 13 from both sides, we get $n\leq12$.

Step8: Solve - 168 > - 12a

Divide both sides by - 12 and reverse the inequality sign, we get $a > 14$.

Step9: Solve - 3 ≤ x - 4

Add 4 to both sides, we get $x\geq1$.

Step10: Solve $\frac{r}{3}>6$

Multiply both sides by 3, we get $r > 18$.

Step11: Solve 12n ≥ 84

Divide both sides by 12, we get $n\geq7$.

Step12: Solve - 22 > - 10 + b

Add 10 to both sides, we get $b<-12$.

Answer:

1. $n\leq0$
2. $m\geq - 25$
3. $x>12$
4. $p\geq - 2$
5. $v<-5$
6. $x\geq6$
7. $n\leq12$
8. $a > 14$
9. $x\geq1$
10. $r > 18$
11. $n\geq7$
12. $b<-12$