Question

Graph the solution to the following inequality on the number line.
x^2 +10x >or equal to-24​

Answer 1

x≤−6 or x≥−4

Explanation:

We need to graph the inequality
`x^2+10x\ge -24`

We can find the solution of the graph as follows :

`x^2+10x+24\ge 0\\\\x^2+6x+4x+24\ge 0\\\\x(x+6)+4(x+6)\ge 0\\\\(x+4)(x+6)\ge 0\\\\x\le -6\ \text{and}\ x\ge -4`

The attached figure shows the graph for the given inequality.