To solve the inequality \(10x + 4 < 8x - 8\), follow these steps:
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Subtract \(8x\) from both sides: \[ 10x - 8x + 4 < -8 \] This simplifies to: \[ 2x + 4 < -8 \]
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Subtract 4 from both sides: \[ 2x < -8 - 4 \] This simplifies to: \[ 2x < -12 \]
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Divide both sides by 2: \[ x < -6 \]
So the solution to the inequality is: \[ x < -6 \]
Graphing the Solution:
To graph the solution \(x < -6\):
- Draw a number line.
- Locate the point at \(-6\).
- Since \(x < -6\) does not include \(-6\) (indicated by a "<" symbol), use an open circle at \(-6\).
- Shade the line to the left of \(-6\) to indicate all the numbers less than \(-6\).
This represents the solution. If there are specific options for graphs that you would like to compare, please provide those options for further assistance!