Question

How do you check to see if a number is in the solution set of an inequality?

Answer 1

You can check by plugging the value into the left-hand side and the right-hand side of the inequality separately to see resulting values satisfy the inequality.

---

Example

Is `x=3` a solution of the inequality `2x-3 < x+1`?

`(LHS)=2(3)-3=6-3=3`

`(RHS)=(3)+1=4`

Since `(LHS)<(RHS)`, `x=3` is a solution of the inequality.

---

I hope that this was helpful.