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Consider the inequality.

2x−13>3


Which of the following graphs shows the solution?

(1 point)
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1 answer

To solve the inequality \(2x - 13 > 3\), we will first isolate \(x\).

  1. Add 13 to both sides: \[ 2x - 13 + 13 > 3 + 13 \] \[ 2x > 16 \]

  2. Divide both sides by 2: \[ x > 8 \]

So, the solution to the inequality is \(x > 8\).

To represent this graphically:

  • On a number line, there should be an open circle at 8 (indicating that 8 is not included in the solution).
  • The shading should extend to the right of 8 to show that all values greater than 8 are included in the solution.

If you have multiple graph options, look for the one that matches this description.