Math Problem Statement

Solve:
4 x − 8

− 4

The answer has form:

x < A

x

A

Where
A

Solution

Let's solve the inequality step by step:

4x8>44x - 8 > -4

Step 1: Add 8 to both sides

4x8+8>4+84x - 8 + 8 > -4 + 8 4x>44x > 4

Step 2: Divide both sides by 4

x>44x > \frac{4}{4} x>1x > 1

Solution:

The answer is of the form x>Ax > A, where A=1A = 1.

Let me know if you would like further details or have any questions. Here are some related questions:

  1. How do you solve inequalities with negative coefficients?
  2. What happens when you divide or multiply both sides of an inequality by a negative number?
  3. How do you graph the solution to the inequality on a number line?
  4. What are the steps to solving multi-step inequalities?
  5. Can inequalities have multiple solutions or be solved using interval notation?

Tip: Always reverse the inequality sign when multiplying or dividing both sides of an inequality by a negative number.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities

Formulas

Solving linear inequalities: ax + b > c

Theorems

Inequality property: Adding/subtracting and multiplying/dividing both sides by positive numbers does not change the inequality direction

Suitable Grade Level

Grades 7-9