Math Problem Statement

5 - x < 8; x = -3

Solution

Let's solve the inequality step by step.

You are given: 5x<85 - x < 8 with x=3x = -3.

Step 1: Substitute x=3x = -3 into the inequality.

5(3)<85 - (-3) < 8

Step 2: Simplify the expression.

5+3<85 + 3 < 8 8<88 < 8

This statement is false. Therefore, x=3x = -3 does not satisfy the inequality 5x<85 - x < 8.

Conclusion:

When x=3x = -3, the inequality is not true.

Would you like further explanation or details on solving inequalities?

Here are 5 related questions:

  1. How do you solve linear inequalities involving variables?
  2. What is the difference between strict and non-strict inequalities?
  3. How do you solve compound inequalities?
  4. What happens when you multiply or divide inequalities by negative numbers?
  5. How do you represent the solution of an inequality on a number line?

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

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Math Problem Analysis

Mathematical Concepts

Inequalities
Algebra

Formulas

Substitution of x into the inequality

Theorems

Properties of inequalities
Simplification of expressions

Suitable Grade Level

Grades 6-8