How do you solve the inequality #x^2+2x>=24#?
By trial and error. Your answer is with the exception of -6<x<4, all x values provide solution.
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
We solve this equation with a sign chart
Let's rearrange and factorise the inequality
Now, we construct the sign chart