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?