Question

Difficulty: EasySolving One-Variable Inequalities

The solution to the one-variable inequality $-2x > 10$ is $x > -5$ .

Answer: Answer

Answer

False

The correct answer is False because isolating

x

requires dividing by

-2

, which means the greater-than sign (

>

) must flip to a less-than sign (

<

). The actual mathematically correct solution is

x < -5

Step-by-Step Solution

Divide both sides of the inequality by

-2

\frac{-2x}{-2}

and

\frac{10}{-2}

To isolate the variable

x

on one side of the inequality.

Reverse the inequality symbol.

x < -5

When dividing or multiplying an inequality by a negative number, the direction of the inequality symbol must be flipped to maintain a mathematically true statement.

Key Concept

Solving One-Variable Inequalities

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