Math Problem Statement

–3 a − 8 < –4

Solution

We are given the inequality:

3a8<4-3a - 8 < -4

Step 1: Add 8 to both sides

3a8+8<4+8-3a - 8 + 8 < -4 + 8 3a<4-3a < 4

Step 2: Divide both sides by -3

Since we are dividing by a negative number, we must flip the inequality sign: a>43a > \frac{4}{-3} [ a > -\frac

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Solving Linear Inequalities

Formulas

Inequality manipulation by adding/subtracting
Dividing inequalities by negative numbers flips the inequality sign

Theorems

Inequality property: When multiplying or dividing by a negative number, the inequality sign reverses

Suitable Grade Level

Grades 8-10