Math Problem Statement

can you subtract one as your first step in 6

x − 1

 − 

6

x

 ≥ 1

Solution

Let's solve the inequality step by step.

The given inequality is:

6x16x16x - 1 - 6x \geq 1

Step 1: Combine like terms.

On the left-hand side, we have 6x6x and 6x-6x, which cancel each other out:

11-1 \geq 1

This results in the inequality:

11-1 \geq 1

Step 2: Analyze the inequality.

The statement 11-1 \geq 1 is false. Therefore, there is no solution to this inequality.

Conclusion:

The inequality has no solution because (-1

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Linear Equations

Formulas

Combining like terms
Simplification of inequalities

Theorems

Properties of Inequalities

Suitable Grade Level

Grades 7-10