Question

1. $-1x < 47$
2. $2x \leq 15$
3. $\frac{1}{2}x \geq -3$
4. $6 \leq -3x$
5. $\frac{x}{5} \leq -12$
6. $\frac{x}{-3} > -60$
7. $-4 < \frac{x}{-9}$
8. $-14 \geq \frac{x}{2}$

© asia hines 2021

Explanation:

Step1: Solve inequality 9

Divide by -1, reverse inequality.
$-1x < 47 \implies x > -47$

Step2: Solve inequality 10

Divide both sides by 2.
$2x \leq 15 \implies x \leq \frac{15}{2}$

Step3: Solve inequality 11

Multiply both sides by 2.
$\frac{1}{2}x \geq -3 \implies x \geq -6$

Step4: Solve inequality 12

Divide by -3, reverse inequality.
$6 \leq -3x \implies x \leq -2$

Step5: Solve inequality 13

Multiply both sides by 5.
$\frac{x}{5} \leq -12 \implies x \leq -60$

Step6: Solve inequality 14

Multiply by -3, reverse inequality.
$\frac{x}{-3} > -60 \implies x < 180$

Step7: Solve inequality 15

Multiply by -9, reverse inequality.
$-4 < \frac{x}{-9} \implies x < 36$

Step8: Solve inequality 16

Multiply both sides by 2.
$-14 \geq \frac{x}{2} \implies x \leq -28$

Answer:

1. $x > -47$
2. $x \leq \frac{15}{2}$
3. $x \geq -6$
4. $x \leq -2$
5. $x \leq -60$
6. $x < 180$
7. $x < 36$
8. $x \leq -28$