-17-2/5w-13......\leqslant

Question

-17-2/5w-13......
`\leqslant`

Answer 1

`-17-(2)/(5)w\leq-13`

Let's work on the inequality.

First let's add 17 on both sides of it:

`-17+17-(2)/(5)w\leq-13+17`
`-(2)/(5)w\leq4`

Now we'll multiply both sides by 5:

`-(2)/(5)w\cdot5\leq4\cdot5`
`-2w\leq20`

Finally, in order to isolate the variable w we'll divide both sides by -2. Note that since we're dividing by a negative number, this will flip the inequality:

`(-2w)/(-2)\ge(20)/(-2)`
`w\ge-10`