Question

Match each inequality to the number line that represents its solution

Answer 1

A)
`x-51\leq -43`

B)
`x-99\leq -104`

C)
`75<69-x`

D)
`150+x\leq 144`

Explanation:

`x-99\leq -104`

`x\leq -104+99\\x\leq -5`

`x-51\leq -43\\x\leq -43+51\\x\leq 8`

`150+x\leq 144`

`x\leq 144-150\\x\leq -6`

`75<69-x\\75-69<-x\\6<-x\\`

Since our x cannot be negative, multiply by -1 and switch the inequality sign.

`-6>x`