Question

How do you solve `5x - 2< 8`?

Answer 1

I tried this:

Explanation:

We evaluate it like a normal equation, isolating `x` on one side and solving for `x`:

`5x<8+2`

`5x<10`

`x<10/5`

`x<2`

this means that the original inequality was satisfied only for values of `x` that are smaller than `2`.
You can check it by substituting values such as `x=3`, you get:

`(5*3)-2<8` which is not true.

while if you try `x=1` (which is smaller than `2`) you get:

`(5*1)-2<8` which is true.

Answer 2

`x<2`

Explanation:

For the most part, we can treat this like an equation, since we won't end up dividing or multiplying by a negative. Let's add `2` to both sides to get

`5x<10`

Our last step would be to divide both sides by `5`, and we get

`x<2`

Hope this helps!