Review question

# Can we solve this inequality with three square roots? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6387

## Suggestion

Solve the inequality $\sqrt{x+2}-\sqrt{x-1}>\sqrt{2x-3}$ for real values of $x$ and of the square roots.

Beware! Multiplying an inequality through by a negative number will change the direction of the inequality sign.

How can we get rid of the square root signs?

What values of $x$ are permissible in this question?