Question

Solve the inequality and graph the solution on the line provided.

Answer Attempt 1 out of 2
S 2 or
Inequality Notation:
Number Line:
-12 -10 -8 6
Submit Answer
O
6
12
8x-16-8

Answer 1

Answer and Step-by-step explanation:To solve the inequality 8x - 16 > -8, we need to isolate the variable x.

First, let's simplify the inequality by adding 16 to both sides of the equation:

8x - 16 + 16 > -8 + 16

8x > 8

Next, divide both sides of the equation by 8 to solve for x:

8x/8 > 8/8

x > 1

So, the solution to the inequality 8x - 16 > -8 is x > 1.

To graph the solution on a number line, we will draw a solid dot at 1 (since it's not included in the solution) and shade the line to the right of 1. This represents all the values of x that are greater than 1.

Here is the number line representation:

-12 -10 -8 0 2 4 6 8 10 12

O———————>

The dot at 1 is filled in, and the line to the right of 1 is shaded. This indicates that any value of x greater than 1 will satisfy the original inequality.

I hope this helps! Let me know if you have any further questions.