MathIsimple

Inequalities

Understand and solve inequalities, including graphing solutions on number lines.

7th Grade
Inequalities
~45 min
🎮 Interactive Activity: Inequality Solver

Solve inequalities and understand the solution!

3x + 5 17
🎮 Interactive Activity: Inequality Graph

Visualize inequalities on a number line!

x 4
1. Understanding Inequalities

What is an Inequality?

An inequality compares two expressions using symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to).

Inequality Symbols:

< means less than

> means greater than

means less than or equal to

means greater than or equal to

Key Difference from Equations:

Inequalities have many solutions, not just one. For x > 3, any number greater than 3 is a solution.

2. Solving Inequalities
3. Graphing Inequalities
4. Word Problems with Inequalities
5. Problem-Solving Strategies
6. Common Errors & Tips
Frequently Asked Questions

Practice Time!

Practice Quiz
10
Questions
0
Correct
0%
Score
1
Solve: x + 5 > 12
2
Solve: 3x ≤ 15
3
Which graph represents x ≥ 4?
4
Solve: 2x - 3 < 9
5
Solve: -4x ≥ 20
6
Which values satisfy x < 3?
7
Solve: x/2 > 5
8
Write: 'n is at most 8'
9
Solve: 5 - 2x < 11
10
Which inequality means 'x is between 2 and 5'?