Math Problem Statement

6 \ge m - 1

Solution

The inequality 6m16 \ge m - 1 can be solved as follows:

  1. Start by isolating mm. To do that, add 1 to both sides of the inequality: 6+1m6 + 1 \ge m 7m7 \ge m

  2. This simplifies to: m7m \le 7

So, the solution to the inequality is: m7m \le 7

Do you have any questions or want further details on this solution?

Here are five related questions:

  1. How do you solve inequalities with multiple variables?
  2. What happens if the inequality was 62(m1)6 \ge 2(m - 1)?
  3. How would the solution change if the inequality sign was reversed?
  4. How do you graph the solution m7m \le 7 on a number line?
  5. What is the difference between solving equations and inequalities?

Tip: When solving inequalities, remember that if you multiply or divide by a negative number, the inequality sign flips!

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities

Formulas

Basic inequality manipulation

Theorems

Addition Property of Inequality

Suitable Grade Level

Grades 6-8