Solve the inequality for x.<−6−x25Simplify your answer as much as possible.

To solve the inequality, we start by subtracting x from both sides of the inequality:

-6 - x < 25

Next, we add 6 to both sides of the inequality:

-6 - x + 6 < 25 + 6

Simplifying, we have:

-x < 31

To isolate x, we multiply both sides of the inequality by -1. Remember that when we multiply or divide by a negative number, we need to reverse the inequality sign:

(-1)(-x) > (-1)(31)

Simplifying further, we get:

x > -31

So the solution to the inequality is x > -31.