Solve the equation and inequality for x, assuming a > 0. (2 points)
a) ax + 15 = 44 Solution: ,
b) ax - 44 < 15 Solution:
a) ax + 15 = 44
To solve for x, we need to isolate x on one side of the equation.
Subtract 15 from both sides of the equation:
ax + 15 - 15 = 44 - 15
ax = 29
Now, divide both sides of the equation by a to solve for x:
ax/a = 29/a
x = 29/a
Solution: x = 29/a
b) ax - 44 < 15
To solve for x, we need to isolate x on one side of the inequality.
First, add 44 to both sides of the inequality:
ax - 44 + 44 < 15 + 44
ax < 59
Now, divide both sides of the inequality by a to solve for x:
ax/a < 59/a
x < 59/a
Solution: x < 59/a