Homework Graphing Inequalities and Solutions

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an inequality?
Back
An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.
2.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean?
Back
The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.
3.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean?
Back
The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.
4.
FLASHCARD QUESTION
Front
What is the difference between a solid line and a dotted line in graphing inequalities?
Back
A solid line indicates that points on the line are included in the solution set (for '≥' or '≤'). A dotted line indicates that points on the line are not included in the solution set (for '>' or '<').
5.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to an inequality?
Back
To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is part of the solution set.
6.
FLASHCARD QUESTION
Front
What is the solution set of an inequality?
Back
The solution set of an inequality is the set of all points (x, y) that satisfy the inequality.
7.
FLASHCARD QUESTION
Front
What does it mean if a point lies in the shaded region of a graph of an inequality?
Back
If a point lies in the shaded region, it means that the point satisfies the inequality and is part of the solution set.
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