Solve the equation and inequality for x, assuming a > 0.

Question

ax+15=44

Answer 1

To solve the equation, we need to isolate x.

ax + 15 = 44

First, subtract 15 from both sides:

ax + 15 - 15 = 44 - 15

This simplifies to:

ax = 29

To isolate x, divide both sides by a:

(ax)/a = 29/a

The a's cancel out on the left side, leaving us with:

x = 29/a

Now let's solve the inequality:

ax + 15 < 44

First, subtract 15 from both sides:

ax + 15 - 15 < 44 - 15

ax < 29

To isolate x, divide both sides by a:

(ax)/a < 29/a

The a's cancel out on the left side, leaving us with:

x < 29/a