Question

-2x + 1 > 3 or -3x + 4 > -5

A) x < -1
B) x > 1
C) x > -1
D) x < 1

Answer 1

The solution to each inequality from the student's question is found separately. The correct answer is 'A) x < -1' since we're looking for a solution that satisfies either inequality, and all numbers less than -1 also satisfy the second inequality.

Step-by-step explanation:

The student's question is related to solving inequalities. Each inequality should be assessed separately before comparing the solution sets.

First inequality: -2x + 1 > 3

Step 1: Subtract 1 from both sides to get -2x > 2.

Step 2: Divide both sides by -2 to get x < -1. Remember, dividing by a negative number reverses the inequality sign.

Second inequality: -3x + 4 > -5

Step 1: Subtract 4 from both sides to get -3x > -9.

Step 2: Divide both sides by -3 to get x < 3.

Since the original question asks for a solution that satisfies either inequality (due to 'or'), we combine the solution sets. The first inequality yields x < -1, while the second yields x < 3. Therefore, the solution is any x that is less than -1, as all such values also satisfy x < 3.

The correct answer from the provided options is A) x < -1.