Question

1. here is an inequality: -2x>10. which value for x would make this inequality true? 2 -7 -5 10

Explanation:

Step1: Analyze the inequality

We have the inequality \(-2x > 10\). To solve for \(x\), we divide both sides by \(-2\). Remember that when dividing or multiplying an inequality by a negative number, the direction of the inequality sign flips. So, dividing both sides by \(-2\) gives \(x < -5\) (because \(\frac{10}{-2}=-5\) and the inequality sign flips).

Step2: Check each option

• For \(x = 2\): Substitute into \(-2x\), we get \(-2\times2=-4\). Since \(-4

ot> 10\), this is false.

• For \(x=-7\): Substitute into \(-2x\), we get \(-2\times(-7) = 14\). Since \(14>10\), this is true.
• For \(x = -5\): Substitute into \(-2x\), we get \(-2\times(-5)=10\). Since \(10

ot>10\), this is false.

• For \(x = 10\): Substitute into \(-2x\), we get \(-2\times10=-20\). Since \(-20

ot>10\), this is false.

Answer:

B. -7 (assuming the options are labeled as A. 2, B. -7, C. -5, D. 10)