Solve and graph this inequality: 1 4​x+3>−10 Write your solved inequality here: Should the point be open or closed? Where is the shading?

Answer 1

To solve the inequality 1/4x+3 > -10, we need to isolate the variable x.

1/4x + 3 > -10

First, subtract 3 from both sides:

1/4x > -10 - 3
1/4x > -13

Next, multiply both sides by 4:

4 * (1/4x) > -13 * 4
x > -52

Therefore, the solved inequality is x > -52.

To graph this inequality on a number line:
- Draw a number line and label it with numbers increasing from left to right.
- Place an open circle at -52 on the number line to represent that -52 is not included in the solution.
- Shade the part of the number line to the right of -52, indicating all values greater than -52 satisfy the inequality.

The graph should have an open circle at -52 and the shading should be to the right of it.