Solve the inequality.

Question

−5x+27>2

Which answer represents the solution set?

Responses

x<−5

x>5

x<5

x>-5

Answer 1

To solve the inequality \(-5x + 27 > 2\), follow these steps:

1. Subtract 27 from both sides: \[ -5x + 27 - 27 > 2 - 27 \] This simplifies to: \[ -5x > -25 \]

2. Divide both sides by -5. Remember that when dividing or multiplying by a negative number, the direction of the inequality changes: \[ x < \frac{-25}{-5} \] This simplifies to: \[ x < 5 \]

Thus, the solution set is \(x < 5\).

The correct response is: x < 5