Math Problem Statement

Three of your inequalities must contain two variables

Solution

Here are three inequalities that contain two variables:

  1. 3x+2y>63x + 2y > 6
  2. x4y10x - 4y \leq 10
  3. 5x+y155x + y \geq 15

Would you like to see the solutions, graph representations, or a detailed explanation of how to solve each inequality?

5 Related Questions:

  1. How do you graph inequalities with two variables?
  2. How do you find the solution set of a system of inequalities?
  3. What is the significance of the boundary line in a two-variable inequality?
  4. How does solving an inequality differ from solving an equation?
  5. Can inequalities with two variables have infinite solutions?

Tip: When graphing inequalities, always use a dashed line for strict inequalities (like << or >>) and a solid line for inclusive ones (like \leq or \geq).

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Graphing Two-Variable Inequalities

Formulas

Linear Inequality Formula: ax + by > c
Linear Inequality Formula: ax + by ≤ c

Theorems

Properties of Inequalities
Graphing Method for Linear Inequalities

Suitable Grade Level

Grades 9-10