Inequalities - Riverside Math - Free Printable

1. $5x + 2 > 27$
- Subtract 2 from both sides: $5x > 25$
- Divide by 5: $x > 5$

2. $12 + 3b < 36$
- Subtract 12 from both sides: $3b < 24$
- Divide by 3: $b < 8$

3. $-8y - 4 \leq 68$
- Add 4 to both sides: $-8y \leq 72$
- Divide by -8 (reverse inequality): $y \geq -9$

4. $\frac{m}{-11} + 5 \geq 13$
- Subtract 5 from both sides: $\frac{m}{-11} \geq 8$
- Multiply by -11 (reverse inequality): $m \leq -88$

5. $9h + 13 < -14$
- Subtract 13 from both sides: $9h < -27$
- Divide by 9: $h < -3$

6. $25 < 15x - 5$
- Add 5 to both sides: $30 < 15x$
- Divide by 15: $2 < x$ or $x > 2$

7. $12k - 20 \geq 112$
- Add 20 to both sides: $12k \geq 132$
- Divide by 12: $k \geq 11$

8. $46 - \frac{k}{2} \geq 16$
- Subtract 46 from both sides: $-\frac{k}{2} \geq -30$
- Multiply by -2 (reverse inequality): $k \leq 60$

9. $14 - f > 86$
- Subtract 14 from both sides: $-f > 72$
- Multiply by -1 (reverse inequality): $f < -72$

10. $-30 > \frac{n}{9} - 18$
- Add 18 to both sides: $-12 > \frac{n}{9}$
- Multiply by 9: $-108 > n$ or $n < -108$

11. $\frac{r}{-4} + 3 \leq 11$
- Subtract 3 from both sides: $\frac{r}{-4} \leq 8$
- Multiply by -4 (reverse inequality): $r \geq -32$

12. $52 - 10k \leq -38$
- Subtract 52 from both sides: $-10k \leq -90$
- Divide by -10 (reverse inequality): $k \geq 9$

13. $-7w + 17 < 3$
- Subtract 17 from both sides: $-7w < -14$
- Divide by -7 (reverse inequality): $w > 2$

14. $-4w + 12 < -32$
- Subtract 12 from both sides: $-4w < -44$
- Divide by -4 (reverse inequality): $w > 11$

15. $\frac{c}{5} + 36 > 29$
- Subtract 36 from both sides: $\frac{c}{5} > -7$
- Multiply by 5: $c > -35$

16. $\frac{h}{7} - 13 < -8$
- Add 13 to both sides: $\frac{h}{7} < 5$
- Multiply by 7: $h < 35$

17. $64 - 6n \leq -8$
- Subtract 64 from both sides: $-6n \leq -72$
- Divide by -6 (reverse inequality): $n \geq 12$

18. $-55 \geq 7v - 27$
- Add 27 to both sides: $-28 \geq 7v$
- Divide by 7: $-4 \geq v$ or $v \leq -4$

19. $\frac{z}{4} - 11 \geq -15$
- Add 11 to both sides: $\frac{z}{4} \geq -4$
- Multiply by 4: $z \geq -16$

20. $6y - 19 > 5$
- Add 19 to both sides: $6y > 24$
- Divide by 6: $y > 4$