Compound Inequalities

Flashcard
•
Mathematics
•
10th 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 is an inequality that combines two or more simple inequalities using the words 'and' or 'or'. For example, x > 1 and x < 5.
2.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean?
Back
The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or equal to another value.
3.
FLASHCARD QUESTION
Front
How do you graph the compound inequality -2 ≤ x ≤ 3?
Back
To graph -2 ≤ x ≤ 3, draw a number line, shade the region between -2 and 3, and use closed circles at -2 and 3 to indicate that these endpoints are included.
4.
FLASHCARD QUESTION
Front
What is the difference between 'and' and 'or' in compound inequalities?
Back
'And' means both conditions must be true simultaneously, while 'or' means at least one of the conditions must be true.
5.
FLASHCARD QUESTION
Front
Solve the compound inequality 2 ≤ 4x - 14 ≤ 10.
Back
First, solve the inequalities separately: 2 ≤ 4x - 14 gives x ≥ 4, and 4x - 14 ≤ 10 gives x ≤ 6. Therefore, the solution is 4 ≤ x ≤ 6.
6.
FLASHCARD QUESTION
Front
What does the graph of x > 1 look like?
Back
The graph of x > 1 is represented by a number line with an open circle at 1 and shading to the right, indicating all values greater than 1.
7.
FLASHCARD QUESTION
Front
How do you represent the solution for x < 1 or x > 4?
Back
The solution is represented on a number line with an open circle at 1 and 4, shading to the left of 1 and to the right of 4.
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