Math Problem Statement

25-4x>-7

Solution

To solve the inequality:

254x>725 - 4x > -7

we'll isolate xx step by step.

  1. Subtract 25 from both sides:

    254x25>72525 - 4x - 25 > -7 - 25

    This simplifies to:

    4x>32-4x > -32

  2. Divide both sides by -4:
    Remember that dividing by a negative number reverses the inequality sign.

    x<324x < \frac{-32}{-4}

    This gives:

    x<8x < 8

Solution:

x<8x < 8

Let me know if you would like more details on each step or have questions!


Related Questions:

  1. How do you solve inequalities with multiple steps?
  2. What happens when dividing or multiplying by a negative number in an inequality?
  3. How do you graph the solution x<8x < 8 on a number line?
  4. Can you solve for xx if the inequality was 25+4x>725 + 4x > -7?
  5. How do you check if a value satisfies an inequality?

Tip: Always remember to flip the inequality when you divide or multiply by a negative.

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities

Formulas

Basic inequality operations

Theorems

Properties of inequalities, including reversing the inequality when dividing by a negative number

Suitable Grade Level

Grades 6-8