Solve the following for a: ax - 5 > 18

Question

A. a = 23 + x
B. a > 13/x
C. a = 23/x
D. a > 23/x

Answer 1

To solve the inequality \( ax - 5 > 18 \) for \( a \), we need to isolate \( a \).

1. Start by adding 5 to both sides of the inequality: \[ ax - 5 + 5 > 18 + 5 \] This simplifies to: \[ ax > 23 \]

2. Next, to solve for \( a \), divide both sides by \( x \) (assuming \( x \neq 0 \)): \[ a > \frac{23}{x} \]

Thus, the solution for \( a \) in terms of \( x \) is: \[ a > \frac{23}{x} \]

Looking at the options provided, the correct choice is: D. a > 23/x.