Question
Solve and graph this inequality: 1 4x+3>−10 Write your solved inequality here: Should the point be open or closed? Where is the shading?
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GPT 3.5
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.
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.
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