Compound Inequalities
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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9 questions
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1.
FLASHCARD QUESTION
Front
What is a compound inequality?
Back
A compound inequality is an inequality that combines two or more simple inequalities using the words 'and' or 'or'.
2.
FLASHCARD QUESTION
Front
How do you express the compound inequality -8 ≤ x < 8 in interval notation?
Back
[-8, 8)
3.
FLASHCARD QUESTION
Front
What does the 'and' in a compound inequality signify?
Back
It means that both conditions must be true at the same time.
4.
FLASHCARD QUESTION
Front
What does the 'or' in a compound inequality signify?
Back
It means that at least one of the conditions must be true.
5.
FLASHCARD QUESTION
Front
What is the solution set for the inequality x < 1 and x > 5?
Back
No solution, because no number can be both less than 1 and greater than 5.
6.
FLASHCARD QUESTION
Front
How do you graph the compound inequality x < 1 or x > 5?
Back
Shade the regions to the left of 1 and to the right of 5 on a number line.
7.
FLASHCARD QUESTION
Front
What is the solution set for the inequality -8 < 2(x + 4) or -3x + 4 > x - 4?
Back
x < -8 or x < 2.
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