Compound Inequalities

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a compound inequality?
Back
A compound inequality combines two or more inequalities using 'and' or 'or'.
2.
FLASHCARD QUESTION
Front
What does the inequality x > 2 or x ≤ -3 represent?
Back
It represents all values of x that are either greater than 2 or less than or equal to -3.
3.
FLASHCARD QUESTION
Front
How do you graph the compound inequality x > 2 or x ≤ -3?
Back
Graph a number line with an open circle at 2 (not including 2) and shade to the right, and a closed circle at -3 (including -3) and shade to the left.
4.
FLASHCARD QUESTION
Front
What is the solution set for the compound inequality -4x + 1 ≤ 21 and 5x + 2 < 22?
Back
The solution set is x ≥ -5 and x < 4.
5.
FLASHCARD QUESTION
Front
What does the notation [-2, 5] mean in interval notation?
Back
It means all numbers x such that -2 ≤ x ≤ 5, including -2 and 5.
6.
FLASHCARD QUESTION
Front
Which compound inequality results in no solution?
Back
x < 1 and x > 5 results in no solution because no number can be both less than 1 and greater than 5.
7.
FLASHCARD QUESTION
Front
What is the difference between 'and' and 'or' in compound inequalities?
Back
'And' requires both conditions to be true, while 'or' requires at least one condition to be true.
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