Math Problem Statement

x+8<3

Solution

To solve the inequality x+8<3x + 8 < 3, follow these steps:

  1. Subtract 8 from both sides to isolate xx: x+88<38x + 8 - 8 < 3 - 8 This simplifies to: x<5x < -5

Thus, the solution is x<5x < -5.

Would you like further details on solving inequalities or have any other questions?

Here are 5 related questions:

  1. What happens if we have x8>3x - 8 > 3 instead?
  2. How do you solve 2x+5<92x + 5 < 9?
  3. What are the rules for solving inequalities when multiplying or dividing by negative numbers?
  4. How can you graph the solution to x<5x < -5 on a number line?
  5. What is the solution to the inequality 3x+8143x + 8 \leq 14?

Tip: When solving inequalities, remember that multiplying or dividing both sides by a negative number reverses the inequality sign.

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities

Formulas

x + 8 < 3

Theorems

Basic Inequality Solving

Suitable Grade Level

Grades 6-8