Question

What is the solution for this inequality? -10x ≤ 40 A. x ≤ -4 B. x ≤ 4 C. x ≥ -4 D. x ≥ 4

Answer 1

C. x ≥ -4

Explanation:

To solve this inequality isolate the variable. Do this by using the properties of equality, specifically the division property. So, divide both sides by -10. This equals, x ≤ -4. However, whenever an inequality is divided or multiplied by a negative number the sign must be flipped. Therefore, the final answer is x ≥ -4.

Answer 2

C. x ≥ -4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Explanation:

Step 1: Define

Identify

-10x ≤ 40

Step 2: Solve for x

1. [Division Property of Equality] Divide -10 on both sides: x ≥ -4