Question

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

Answer 1

Answer:

x≤−6 or x≥−4

Step-by-step 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.