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Solve and graph the solution set. \[ x+6<5 x-2 \]

Ask by Parsons Gibson. in the United States
Feb 20,2025

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The solution is \(x > 2\). To graph it, draw a vertical line at \(x=2\) and shade the area to the right of the line.

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Mind Expander

To solve the inequality \( x + 6 < 5x - 2 \), we can start by isolating \( x \). First, subtract \( x \) from both sides: \[ 6 < 4x - 2 \] Next, add 2 to both sides: \[ 8 < 4x \] Then, divide both sides by 4: \[ 2 < x \] This can also be written as \( x > 2 \). Now, to graph this solution set on a number line, you'll draw an open circle at 2 (indicating 2 is not included in the solution) and shade to the right, showing all numbers greater than 2. Happy graphing! 🎉

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