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

Jun 23, 2018

$x > 3$

#### 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.

Jun 24, 2018

$x > 3$

#### Explanation:

Given: $x - 1 > 2$.

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

$x - \textcolor{red}{\cancel{\textcolor{b l a c k}{1}}} + \textcolor{red}{\cancel{\textcolor{b l a c k}{1}}} > 2 + 1$

$x > 3$