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

Question

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

options: x = 29/a, x = 59a, x = 59/a, x = 29a, x < 59/a, x < 29a, x < 29/a, or x < 59a

Answer 1

a) To solve the equation ax + 15 = 44, we can subtract 15 from both sides to isolate the variable:

ax = 44 - 15
ax = 29

Then, we can divide both sides by a to solve for x:

x = 29/a

So, the solution is x = 29/a.

b) To solve the inequality ax - 44 < 15, we can add 44 to both sides to isolate the variable:

ax < 15 + 44
ax < 59

Then, we can divide both sides by a (remembering that a > 0, so we don't need to change the direction of the inequality sign):

x < 59/a

So, the solution is x < 59/a.

Therefore, the solutions are:
a) x = 29/a
b) x < 59/a