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Questions and Answers
The point (0,1) satisfies the inequality $3x + 2y ≥ 5$.
The point (0,1) satisfies the inequality $3x + 2y ≥ 5$.
False (B)
The ordered pair (-3, 2) can be tested in the inequality $2x - y$.
The ordered pair (-3, 2) can be tested in the inequality $2x - y$.
True (A)
Substituting (0,1) into the expression $3x + 2y$ yields a result of 5.
Substituting (0,1) into the expression $3x + 2y$ yields a result of 5.
False (B)
The expression $2x - y$ can be positive, negative, or zero depending on the values of x and y.
The expression $2x - y$ can be positive, negative, or zero depending on the values of x and y.
The result of $3(0) + 2(1)$ is greater than or equal to 5.
The result of $3(0) + 2(1)$ is greater than or equal to 5.
Flashcards
Solution of an Inequality
Solution of an Inequality
A pair of numbers that satisfies an inequality. It's a point on the graph of the inequality.
Checking a Solution
Checking a Solution
To check if an ordered pair solves an inequality, substitute the x and y values and evaluate to see if it makes the inequality hold true.
Inequality
Inequality
An inequality is an equation that contains an inequality symbol. It means that two quantities aren't equal, but one is greater or less than the other.
Ordered Pair
Ordered Pair
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Substitution
Substitution
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Study Notes
Determining Solutions to Inequalities
- To determine if an ordered pair is a solution to an inequality, substitute the x and y values into the inequality.
- If the resulting inequality is true, the ordered pair is a solution. If it's false, it's not a solution.
Example 1: 3x + 2y ≥ 5 and (0, 1)
- Substitute x = 0 and y = 1 into the inequality: 3(0) + 2(1) ≥ 5
- Simplify: 2 ≥ 5
- Since 2 is not greater than or equal to 5, (0, 1) is not a solution.
Example 2: 2x - y and (-3, 2)
- The inequality is incomplete. To determine if (-3, 2) is a solution, the complete inequality is needed.
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Description
Test your understanding of how to determine solutions to inequalities with this quiz. You'll learn to substitute values into inequalities and evaluate if ordered pairs are solutions. Practice with examples and deepen your math skills!
