Podcast
Questions and Answers
What is the symbol used for inequalities?
What is the symbol used for inequalities?
≤ or ≥
What type of inequalities are represented by a dashed line when graphing?
What type of inequalities are represented by a dashed line when graphing?
What are the symbols for 'less than or equal to' and 'greater than or equal to'?
What are the symbols for 'less than or equal to' and 'greater than or equal to'?
Flashcards
Inequality
Inequality
A mathematical statement comparing two expressions using symbols like <, >, ≤, or ≥.
Ordered Pair
Ordered Pair
A pair of numbers (x, y) that represents a point on a coordinate plane.
Slope-Intercept Form
Slope-Intercept Form
The form y = mx + c, where m is the slope and c is the y-intercept.
Dashed Line
Dashed Line
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Solid Line
Solid Line
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Linear Inequality
Linear Inequality
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Solve an Inequality
Solve an Inequality
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Convert to Slope-Intercept Form
Convert to Slope-Intercept Form
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Graph an Inequality
Graph an Inequality
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Testing a Point
Testing a Point
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Solution Set
Solution Set
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Slope
Slope
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y-intercept
y-intercept
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Verify a solution
Verify a solution
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Graphing Linear Inequalities
Graphing Linear Inequalities
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Inequality Symbols
Inequality Symbols
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Solution to an inequality
Solution to an inequality
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Half-plane
Half-plane
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Linear equation
Linear equation
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Study Notes
Linear Inequalities
- Linear inequalities are similar to linear equations but use inequality symbols
- The solution to a linear inequality involves finding all ordered pairs that make the inequality true
- Example: 2x - 3y < 15
- To graph a linear inequality:
- Convert the inequality to slope-intercept form (y = mx + b)
- Determine if the line should be solid or dashed (solid for ≤ or ≥, dashed for < or >)
- Choose a test point (not on the line) to determine which side of the line to shade. If the test point satisfies the inequality, shade that side; otherwise, shade the other side.
- If the inequality is multiplied or divided by a negative number, flip the inequality sign
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Description
Test your understanding of linear inequalities and their solutions with this quiz. You'll explore how to graph inequalities, determine the nature of the boundary line, and use test points effectively. Strengthen your skills in solving inequalities with various examples.
