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

Question

a) ax+15=44 Solution:
b) ax−44<15 Solution:

Answer 1

a) To solve the equation ax + 15 = 44, we need to isolate x.

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

Divide both sides by a:
(ax) / a = 29 / a
x = 29 / a

So the solution to the equation ax + 15 = 44 is x = 29 / a.

b) To solve the inequality ax - 44 < 15, we need to isolate x.

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

Divide both sides by a:
(ax) / a < 59 / a
x < 59 / a

So the solution to the inequality ax - 44 < 15 is x < 59 / a.