Math Problem Statement

Solve the inequality (2x + 1) / 3 ≥ 5.

Solution

The inequality provided is:

2x+135\frac{2x + 1}{3} \geq 5

To solve this inequality, follow these steps:

  1. Multiply both sides by 3 (to eliminate the fraction):

    2x+1152x + 1 \geq 15

  2. Subtract 1 from both sides:

    2x142x \geq 14

  3. Divide both sides by 2:

    x7x \geq 7

The solution to the inequality is x7x \geq 7.

Would you like more details or have any questions?

Related Questions:

  1. How would the solution change if the inequality were 2x+135\frac{2x + 1}{3} \leq 5?
  2. What are some different methods to solve inequalities?
  3. How does multiplying or dividing by a negative number affect an inequality?
  4. Can inequalities be solved graphically? If so, how?
  5. How would you solve a compound inequality, such as 22x+13<52 \leq \frac{2x + 1}{3} < 5?

Tip:

Always remember to reverse the inequality sign when multiplying or dividing both sides by a negative number.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Inequalities

Formulas

Linear inequality formula: ax + b ≥ c

Theorems

Properties of inequalities

Suitable Grade Level

Grades 8-10