Binder Flashcard 2-2

Front

What is a linear inequality?

Back

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How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign using inverse operations, similar to solving an equation. Remember to reverse the inequality sign if you multiply or divide by a negative number.

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What does the solution of a linear inequality represent?

Back

The solution of a linear inequality represents a range of values that satisfy the inequality, often depicted on a number line or graph.

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What is the difference between strict and non-strict inequalities?

Back

Strict inequalities use < or >, meaning the endpoints are not included. Non-strict inequalities use ≤ or ≥, meaning the endpoints are included.

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What is the graphical representation of a linear inequality?

Back

The graphical representation of a linear inequality is a shaded region on one side of a boundary line, which represents all the solutions to the inequality.

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How do you graph a linear inequality in two variables?

Back

1. Graph the corresponding linear equation as a dashed line (for < or >) or solid line (for ≤ or ≥). 2. Shade the region that satisfies the inequality.

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Back

Front

What does the notation @@x eq 5@@ mean?

Back

The notation @@x eq 5@@ means that x can take any value except 5.

Front

What is an example of a word problem that can be modeled with a linear inequality?

Back

A word problem like 'A store sells pencils for $0.50 each. How many pencils can you buy with $5?' can be modeled as @@0.50x eq 5@@.

Front

What is the importance of understanding inequalities in real life?

Back

Understanding inequalities helps in making decisions based on constraints, such as budgeting, resource allocation, and optimizing outcomes.