Math Problem Statement

Solve for xx and graph the solution on the number line below. 4, x, plus, 7, is greater than or equal to, minus, 13, and, 15, is greater than or equal to, 4, x, plus, 7 4x+7≥−13and 15≥4x+7

Solution

The graph above represents the solution 5x2-5 \leq x \leq 2, with the blue line indicating the interval between -5 and 2, inclusive of both endpoints.

Do you want any further details or have any questions?

Here are five related questions to expand your understanding:

  1. How do you solve a system of inequalities involving absolute values?
  2. What happens when the inequality symbol is reversed?
  3. How do you solve compound inequalities with more than two parts?
  4. How does the solution change if the inequality involves fractions?
  5. Can you graph inequalities with two variables?

Tip: Always remember to reverse the inequality symbol when multiplying or dividing 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
Graphing on Number Line

Formulas

Linear inequality 4x + 7 ≥ -13
Linear inequality 15 ≥ 4x + 7

Theorems

Inequality properties
Reversing inequalities when multiplying or dividing by a negative number

Suitable Grade Level

Grades 7-10