Solve the following:(2 points)

Question

ax+15=44
ax−44<15

Answer 1

To solve the equations and inequality involving \( ax \), let's break it down step by step.

1. Solve the equation \( ax + 15 = 44 \):

   \[ ax + 15 = 44 \] Subtract 15 from both sides: \[ ax = 44 - 15 \] \[ ax = 29 \]

2. Now, solve the inequality \( ax - 44 < 15 \):

   \[ ax - 44 < 15 \] Add 44 to both sides: \[ ax < 15 + 44 \] \[ ax < 59 \]

Now, we have two results:

• From the equation, we found \( ax = 29 \).
• From the inequality, we found \( ax < 59 \).

Since \( ax = 29 \) satisfies the inequality \( ax < 59 \), we conclude:

• The value of \( ax \) is \( 29 \).
• The inequality is satisfied as \( 29 < 59 \).

Thus, the answer is:

• \( ax = 29 \)
• The solution range for the inequality is also satisfied.