Question

Which of the following is the solution to the compound inequality below

Answer 1

So starting with the first inequality:

Firstly, subtract 1/5 on each side. $\frac{3}{2}x \geq -\frac{6}{5}$

Next, multiply each side by 2/3, and your answer should be:

$x \geq -\frac{12}{15}\\\\ x \geq-\frac{4}{5}$

Second inequality:

Firstly, add 7/3 on each side $-\frac{1}{2} x\geq \frac{22}{3}$

Next, multiply by -2 on each side, and flip the less than or equal to sign because you are multiplying by a negative. Your answer will be $x\leq -\frac{44}{3}$

In short, the correct option is the first option.