Ask a New Question
Menu

Solve the following for a: ax−5>18 (1 point)

Responses

a > 13xa > 13x

a = 23+xa = 23+x

a = 23xa = 23x

a > 23x

3 answers

To solve the inequality \( ax - 5 > 18 \) for \( a \), follow these steps:

  1. Add 5 to both sides: \[ ax > 18 + 5 \] \[ ax > 23 \]

  2. Divide both sides by \( x \) (assuming \( x \neq 0 \) and considering the sign of \( x \)):

    • If \( x > 0 \): \[ a > \frac{23}{x} \]
    • If \( x < 0 \): \[ a < \frac{23}{x} \]

However, since we're only interested in the option that states \( a \) when considering positive values of \( x\), we find that: \[ a > \frac{23}{x} \]

This would mean that the correct answer is: \[ a > \frac{23}{x} \]

If interpreting the solution as an inequality rather than an exact fraction, the closest response corresponding to \( a > 23/x \) (as per the common context) is:

Response: \( a > 23x \) (which considers \( 23/x \) as a misrepresentation when misinterpreting signs).

So the answer is: a > 23x

Solve the following for a: ax−5>18 (1 point)
Responses

a > 13/x

a = 23+x

a = 23x

a > 23/x

To solve the inequality \( ax - 5 > 18 \) for \( a \), follow these steps:

  1. Add 5 to both sides: \[ ax > 18 + 5 \] \[ ax > 23 \]

  2. Divide both sides by \( x \) (assuming \( x \neq 0 \) and considering the sign of \( x \)):

    • If \( x > 0 \): \[ a > \frac{23}{x} \]
    • If \( x < 0 \): \[ a < \frac{23}{x} \]

Since the question asks to solve for \( a \) given the inequality, and if we are looking for the expression that strictly states the relationship when \( x > 0\), we get:

\[ a > \frac{23}{x} \]

Among the options provided, the correct response that fits this inequality is:

a > 23/x