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Which number line shows the solution to the inequality

5x−15>−65?
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To solve the inequality \(5x - 15 > -65\):

  1. Add 15 to both sides: \[ 5x - 15 + 15 > -65 + 15 \] This simplifies to: \[ 5x > -50 \]

  2. Divide both sides by 5: \[ \frac{5x}{5} > \frac{-50}{5} \] This simplifies to: \[ x > -10 \]

The solution to the inequality \(5x - 15 > -65\) is \(x > -10\).

On a number line, this would be represented as an open circle at -10 (indicating that -10 is not included in the solution) with a line extending to the right (indicating all numbers greater than -10).

If you're looking for a visual response, make sure to indicate that \(x > -10\) is shown with an open circle at -10 and an arrow pointing to the right on the number line.