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Consider the inequality.

5a+18<−27

Correctly order the steps used to solve the inequality.

(3 points)

1 answer

To solve the inequality \( 5a + 18 < -27 \), you can follow these ordered steps:

  1. Subtract 18 from both sides: This isolates the term containing \( a \). \[ 5a + 18 - 18 < -27 - 18 \] Resulting in: \[ 5a < -45 \]

  2. Divide both sides by 5: This will help to solve for \( a \). \[ \frac{5a}{5} < \frac{-45}{5} \] Resulting in: \[ a < -9 \]

Thus, the ordered steps to solve the inequality are:

  1. Subtract 18 from both sides.
  2. Divide both sides by 5.

Final solution: \[ a < -9 \]