Math Problem Statement
Is the ordered pair (5, 0) a solution to the inequality 4x - 7y > 4. Why or why not?
(A) Yes, 20 > 4
(B) Yes, 27 > 4
(C) No, -7 < 4
(D) No, -35 < 4
Solution
To determine if the ordered pair is a solution to the inequality , we substitute and into the inequality and see if it holds true.
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Substitute and into :
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Simplify the expression:
This inequality is true. Therefore, is indeed a solution to the inequality .
Answer:
The correct choice is (A) Yes, 20 > 4.
Would you like further details or have any questions?
Here are some related questions to expand on this concept:
- How would you determine if an ordered pair is a solution for a different inequality, like ?
- What is the process for checking if a point lies on the boundary of an inequality solution region?
- Can a point satisfy an inequality but not its corresponding equation?
- How do we graphically represent the solution set of an inequality on a coordinate plane?
- What changes in the inequality compared to ?
Tip: Always check your substitution carefully when determining if a point is a solution to an inequality or equation.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Ordered Pairs
Formulas
Inequality expression substitution: 4x - 7y > 4
Theorems
Substitution Method for Solving Inequalities
Suitable Grade Level
Grades 7-9
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