Question

Solve the one-variable inequality − 5/2 x>10
.(1 point)
Responses

25x4<−25
Start Fraction 25 x over 4 End Fraction less than negative 25

x<−4
x less than negative 4

x>−25
x greater than negative 25

x>−4

Answer 1

To solve the inequality \(-\frac{5}{2} x > 10\), we can follow these steps:

1. Multiply both sides of the inequality by \(-2/5\). Remember that when you multiply or divide by a negative number, you must reverse the inequality sign.

\[
x < \frac{10 \cdot -2}{5}
\]

2. Simplify the right side:

\[
x < -4
\]

Thus, the solution to the inequality is:

\[
\boxed{x < -4}
\]

So the correct response is \(x < -4\).