Solve the equation and inequality for x, assuming a > 0.
ax+15=44
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