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Consider the inequality.

2x+5<11


Correctly order the steps to solve the inequality.

(3 points)

1 answer

To solve the inequality \(2x + 5 < 11\), we can break it down into the following steps:

  1. Subtract 5 from both sides:
    \(2x + 5 - 5 < 11 - 5\)
    This simplifies to:
    \(2x < 6\)

  2. Divide both sides by 2:
    \( \frac{2x}{2} < \frac{6}{2} \)
    This simplifies to:
    \(x < 3\)

So the ordered steps to solve the inequality \(2x + 5 < 11\) are:

  1. Subtract 5 from both sides.
  2. Divide both sides by 2.

This results in the final solution: \(x < 3\).