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.
`(3)/(2)x \geq -(6)/(5)`

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

`x \geq -(12)/(15)\\\\ x \geq-(4)/(5)`

Second inequality:

Firstly, add 7/3 on each side
`-(1)/(2) x\geq (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 -(44)/(3)`

In short, the correct option is the first option.