Question

Solve the inequality. |x+6|+9>=8

Answer 1

To solve the inequality |x+6|+9>=8, isolate the absolute value term and solve for x by subtracting 9 from both sides, rewriting the inequality, and subtracting 6 from both sides.

Step-by-step explanation:

To solve the inequality |x+6|+9>=8, we need to isolate the absolute value term and then solve for x. Here are the steps:

1. Subtract 9 from both sides of the inequality: |x+6| >= -1
2. Since the absolute value of any number is always greater than or equal to 0, we can rewrite the inequality as x+6 >= -1.
3. Subtract 6 from both sides of the inequality: x >= -7.

So the solution to the inequality is x >= -7.