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Solve the following:(2 points)

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ax+15=44
ax−44<15

1 answer

To solve the equations and inequalities provided, we can start with the equation and then proceed to the inequality.

  1. Equation: \( ax + 15 = 44 \)

    To isolate \( ax \), we can subtract 15 from both sides:

    \[ ax = 44 - 15 \]

    \[ ax = 29 \]

  2. Inequality: \( ax - 44 < 15 \)

    To isolate \( ax \) in the inequality, we can first add 44 to both sides:

    \[ ax < 15 + 44 \]

    \[ ax < 59 \]

Now we have:

  • From the equation: \( ax = 29 \)
  • From the inequality: \( ax < 59 \)

Since \( 29 < 59 \), the value obtained from the equation satisfies the inequality as well.

Final Responses:

  • For the equation: \( ax = 29 \)
  • For the inequality: \( ax < 59 \)

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