Question

How do you solve `-3( 2x + 5) \geq 3x + 3`?

Answer 1

`x <=-2`

Explanation:

Start out by using the distributive property and multiply `-3` by the numbers in the parentheses.

`-3(2x + 5) >= 3x + 3`

`-6x - 15 >= 3x + 3`

Now finish simplifying:

`-6x - 15 >= 3x + 3`

`-9x - 15 >= 3`

`-9x >= 18`

`-x >= 2`

We want `x` to be positive, not negative, so we will multiply both sides by `-1`. But, there's a catch! We need to switch the greater than sign (`>`) to a lesser than sign (`<`) because we did this.

`-x(-1)color(red)>= 2(-1)`

`x color(red)<=-2`

This means that x is less than or equal to -2.