Math Problem Statement

simply this: 2x - 5 > or equal to 5 - 2x

Solution

To simplify the inequality 2x552x2x - 5 \geq 5 - 2x:

  1. First, add 2x2x to both sides to eliminate the 2x-2x on the right: 2x+2x552x + 2x - 5 \geq 5 This simplifies to: 4x554x - 5 \geq 5

  2. Next, add 5 to both sides to isolate terms with xx on the left: 4x5+55+54x - 5 + 5 \geq 5 + 5 Simplifying: 4x104x \geq 10

  3. Finally, divide both sides by 4: x104x \geq \frac{10}{4} Simplifying further: x2.5x \geq 2.5

Thus, the solution is x2.5x \geq 2.5.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you solve inequalities with fractions?
  2. What happens if you multiply or divide by a negative number in inequalities?
  3. Can inequalities have multiple solutions?
  4. How do you graph an inequality on a number line?
  5. How can you verify the solution to an inequality?

Tip: When multiplying or dividing both sides of an inequality by a negative number, remember to reverse the inequality sign!

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Math Problem Analysis

Mathematical Concepts

Inequalities
Linear Equations
Algebra

Formulas

Linear inequality manipulation

Theorems

Properties of inequalities
Addition and subtraction properties of inequalities
Multiplication and division properties of inequalities

Suitable Grade Level

Grades 6-8