Question

Question #0e470

Answer 1

`6<=x`

Explanation:

After writing the inequality, solve it like a regular equation for `x`:

`3(x+3)<=5x-3`
Distribute the `3` on the left side:
`3x+9<=5x-3`

Combine like terms by subtracting `3x` and adding `3` to both sides:
`12<=2x`
Divide both sides by `2`:
`6<=x`

So `6` is the lowest possible value for `x`.
You can verify this by plugging `6` in to see if the original statement is true: `3(6+3)<=5(6)-3`
`=> 3(9)<=30-3`
`=> 27<=27`
So `6` works!

You can try it with a lower number like `5` if you want to see if `6` is really the lowest. (It is!)