Question

How do you solve the inequality `x - 1 > 2`?

Answer 1

`x>3`

Explanation:

Let's just pretend that the inequality symbol is an equal sign. So, we have the equation

`x-1=2`

Let's solve this. Add `1` to both sides of the equation. We get

`x=3`

Now, replace the equal sign with an inequality sign.

`x>3`

Solving for an inequality is exactly like solving a normal equation (unless diving by a negative number, then the sign flips). So, `x` is any value from `4` and above.

Answer 2

`x>3`

Explanation:

Given: `x-1>2`.

Add `1` to both sides to isolate `x`.

`x-color(red)cancelcolor(black)1+color(red)cancelcolor(black)1>2+1`

`x>3`