Math Problem Statement

-2x + 8 > -2

Solution

The inequality provided in the image is:

2x+8>2-2x + 8 > -2

Solving the inequality:

  1. Subtract 8 from both sides: 2x+88>28-2x + 8 - 8 > -2 - 8 Simplifying: 2x>10-2x > -10

  2. Divide both sides by -2: When dividing by a negative number, reverse the inequality sign: x<5x < 5

Solution:

x<5x < 5

Would you like a detailed explanation or further assistance?

Here are 5 related questions for practice:

  1. Solve 3x7<83x - 7 < 8.
  2. Solve 4x+120-4x + 12 \geq 0.
  3. Solve 52x115 - 2x \leq 11.
  4. Solve 3x>6-3x > 6.
  5. Solve 2x+1>x42x + 1 > x - 4.

Tip: Always remember to reverse the inequality sign when multiplying or dividing by a negative number!

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities

Formulas

Basic algebraic operations for inequalities

Theorems

Properties of inequalities

Suitable Grade Level

Grades 7-8