Solve the inequality.

Question

− ⅓ x + 10 > 17
Which inequality represents the solutions to this inequality?
Responses
x<−21

x<7

x>−21

x>7

Answer 1

To solve the inequality \(-\frac{1}{3}x + 10 > 17\), follow these steps:

1. Subtract 10 from both sides:

   \[ -\frac{1}{3}x > 17 - 10 \] \[ -\frac{1}{3}x > 7 \]

2. Multiply both sides by \(-3\). Remember that when you multiply or divide an inequality by a negative number, you must reverse the inequality sign:

   \[ x < 7 \]

So, the solution to the inequality is \(x < 7\).

The correct response is:

x < 7.