Math Problem Statement

4𝑥−7≤13

Solution

Let's solve the inequality 4x7134x - 7 \leq 13.

Step 1: Add 7 to both sides of the inequality:

4x7+713+74x - 7 + 7 \leq 13 + 7 4x204x \leq 20

Step 2: Divide both sides by 4:

4x4204\frac{4x}{4} \leq \frac{20}{4} x5x \leq 5

Solution:

The solution to the inequality is x5x \leq 5, meaning that xx can be any number less than or equal to 5.

Would you like further details on solving inequalities? Or do you have other questions related to this?


Related Questions:

  1. What is the solution for 4x7>134x - 7 > 13?
  2. How do you solve an inequality involving absolute value?
  3. Can inequalities have more than one solution?
  4. What happens if you multiply or divide an inequality by a negative number?
  5. How can you graph the solution to this inequality on a number line?

Tip: Always remember to reverse the inequality sign if you multiply or divide by a negative number!

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Linear Equations

Formulas

Basic inequality solving: ax + b ≤ c

Theorems

Properties of Inequalities

Suitable Grade Level

Grades 6-8