Question

How do you solve `-\frac { 3} { 5} k + 4\leq - \frac { 1} { 5} k`?

Answer 1

`k>=10`

Refer to the explanation for the process.

Explanation:

Solve:

`-3/5k+4<=-1/5k`

Simplify.

`-(3k)/5+4<=-k/5`

Multiply both sides by `5`.

`5xx-(3k)/5+4xx5<=-k/5xx5`

Cancel `5` on both sides
.
`color(red)cancel(color(black)(5))^1xx-(3k)/color(red)cancel(color(black)(5))^1+4xx5<=-k/color(red)cancel(color(black)(5))^1xxcolor(red)cancel(color(black)(5))^1`

Simplify.

`-3k+20<=-k`

Add `3k` to both sides.

`20<=-k+3k`

Simplify.

`20<=2k`

Divide both sides by `2`.

`20/2<=k`

Simplify.

`10<=k`

Switch sides.

`k>=10`