Solve the equation and inequality for x, assuming a > 0 (fill in the blanks)

a) ax + 15 = 44 solution: ____
b) ax - 44 < 15 solution: ____

1 answer

a) To solve the equation ax + 15 = 44, we can start by subtracting 15 from both sides of the equation:

ax + 15 - 15 = 44 - 15

This simplifies to:

ax = 29

Now, divide both sides of the equation by a:

ax/a = 29/a

This simplifies to:

x = 29/a

Therefore, the solution for the equation ax + 15 = 44 is x = 29/a.

b) To solve the inequality ax - 44 < 15, we can start by adding 44 to both sides of the inequality:

ax - 44 + 44 < 15 + 44

This simplifies to:

ax < 59

Now, divide both sides of the inequality by a:

(ax)/a < 59/a

This simplifies to:

x < 59/a

Therefore, the solution for the inequality ax - 44 < 15 is x < 59/a.