Answer:
x≤−6 or x≥−4
Step-by-step explanation:
We need to graph the inequality [tex]x^2+10x\ge -24[/tex]
We can find the solution of the graph as follows :
[tex]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[/tex]
The attached figure shows the graph for the given inequality.
