# How do you solve the inequality #x^2+2x>=24#?

##### 2 Answers

By trial and error. Your answer is with the exception of -6<x<4, all x values provide solution.

#### Explanation:

x must be a real number and let me try +3 provide the solution. There are two numbers provide the solution (one is positive and the other one is negative):

Now let me try +4

On the negative side, let me try -3 first:

Try -4 now:

Try -5 now:

Try -6 now:

Any number less than -6 (including -6) will satisfy the given.

For instance (-8):

Now your solution is x must be greater than or equal to 4 or x must be less than or equal to -6.

The solution is

#### Explanation:

We solve this equation with a sign chart

Let's rearrange and factorise the inequality

Let

Now, we construct the sign chart

Therefore,