Mastering Inequalities
Test your skills in identifying, solving, and graphing inequalities on the number line.
Start Quiz
Inequality Vocabulary
Inequalities show if a number is larger, smaller, or potentially equal to another. While equations use an equals sign, inequalities use symbols like < (Less Than) or > (Greater Than) to describe a range of possible solutions. Mastering the keywords is the secret: 'At most' means ≤, and 'at least' means ≥. Remember the visual trick: the symbol's "mouth" always opens toward the larger value! Understanding these symbols is the first step toward solving 7th-grade math challenges and graphing them accurately on a number line.
Closed Circle: The value is included
Graphing Inequalities
A number line is a map of solutions. An open circle shows the boundary is not included, while a closed circle means it is. Always shade the arrow toward the correct values!
Open Circle: The value is excluded
Start
The 'At Most' Mystery
Which numbers fit x < 9?
Is < an open circle?
Mapping the Path
Modeling Real Life
Inequality Recap
Inequality symbols provide the logic for every graph. They tell us if a value is strictly more or less, or if it can be equal to the limit.
When graphing, the circle marks the boundary. An open circle excludes the number, while a closed circle includes it in the solution set.
The arrow is your guide to the solution set. It points towards all the numbers that make the statement true, representing an infinite set of possibilities.
"Math is not just about finding 'x'; it's about understanding the entire range where 'x' can live."
Quiz Complete! Math Star!
You've mastered 7th-grade inequalities!Keep practicing your number line graphs and prepare for multi-step challenges!
Mastering Boundary Points
The Circle Secret
The type of circle you draw tells the whole story. Use an open circle for < and > symbols to show the boundary number is not a solution. Use a closed circle for ≤ and ≥ to include the number. This tiny detail makes your graph accurate!
3.01 Mastering Inequalities: Logic and Number Lines
Kylie Bunn
Created on May 20, 2026
Explore 7th-grade inequalities through five interactive challenges. Master symbol recognition, solution testing, and graphing techniques to confidently represent mathematical relationships on a number line.
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Transcript
Mastering Inequalities
Test your skills in identifying, solving, and graphing inequalities on the number line.
Start Quiz
Inequality Vocabulary
Inequalities show if a number is larger, smaller, or potentially equal to another. While equations use an equals sign, inequalities use symbols like < (Less Than) or > (Greater Than) to describe a range of possible solutions. Mastering the keywords is the secret: 'At most' means ≤, and 'at least' means ≥. Remember the visual trick: the symbol's "mouth" always opens toward the larger value! Understanding these symbols is the first step toward solving 7th-grade math challenges and graphing them accurately on a number line.
Closed Circle: The value is included
Graphing Inequalities
A number line is a map of solutions. An open circle shows the boundary is not included, while a closed circle means it is. Always shade the arrow toward the correct values!
Open Circle: The value is excluded
Start
The 'At Most' Mystery
Which numbers fit x < 9?
Is < an open circle?
Mapping the Path
Modeling Real Life
Inequality Recap
Inequality symbols provide the logic for every graph. They tell us if a value is strictly more or less, or if it can be equal to the limit.
When graphing, the circle marks the boundary. An open circle excludes the number, while a closed circle includes it in the solution set.
The arrow is your guide to the solution set. It points towards all the numbers that make the statement true, representing an infinite set of possibilities.
"Math is not just about finding 'x'; it's about understanding the entire range where 'x' can live."
Quiz Complete! Math Star!
You've mastered 7th-grade inequalities!Keep practicing your number line graphs and prepare for multi-step challenges!
Mastering Boundary Points
The Circle Secret
The type of circle you draw tells the whole story. Use an open circle for < and > symbols to show the boundary number is not a solution. Use a closed circle for ≤ and ≥ to include the number. This tiny detail makes your graph accurate!