Week 16 (12/02) Inequalities Review
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What does a closed dot on a number line indicate?
Back
A closed dot indicates that the number is included in the solution set (e.g., for the inequality 5 ≥ x, x can equal 5).
2.
FLASHCARD QUESTION
Front
How do you solve the system of equations: x=4 and 2x+3y=-4?
Back
Substituting x=4 into the second equation gives 2(4)+3y=-4, which simplifies to 8+3y=-4. Solving for y gives y=-4. The solution is (4, -4).
3.
FLASHCARD QUESTION
Front
What does the inequality x ≤ 10.5 mean?
Back
It means that x can take any value less than or equal to 10.5.
4.
FLASHCARD QUESTION
Front
How can you represent the inequality 2 > p on a number line?
Back
It can be represented as a number line with an open dot at 2 and shading to the left, indicating all values less than 2.
5.
FLASHCARD QUESTION
Front
What does the inequality x ≥ 3 signify?
Back
It signifies that x can take any value greater than or equal to 3.
6.
FLASHCARD QUESTION
Front
What is the difference between x > 3 and x ≥ 3?
Back
x > 3 means x can be any value greater than 3 (not including 3), while x ≥ 3 includes 3 as well.
7.
FLASHCARD QUESTION
Front
What does the term 'inequality' refer to in mathematics?
Back
An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.
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