Math Problem Statement

Negative seven plus four is less than or equal to negative 2

Solution

The inequality is:

7+42-7 + 4 \leq -2

Simplify the left-hand side:

32-3 \leq -2

This inequality is true, since -3 is indeed less than or equal to -2.

Would you like additional explanations or have any other questions?

Here are 5 related questions to explore:

  1. What happens if we switch the inequality direction?
  2. How do inequalities differ from equalities in math?
  3. Can you solve a compound inequality like 7+42<3-7 + 4 \leq -2 < 3?
  4. How do you graph inequalities on a number line?
  5. What does "strict inequality" mean in math?

Tip: Always double-check your signs when working with inequalities!

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Math Problem Analysis

Mathematical Concepts

Inequalities
Basic Algebra

Formulas

Inequality rules
Simplification of expressions

Theorems

Properties of inequalities

Suitable Grade Level

Grades 6-8