2 step inequalities
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a two-step inequality?
Back
A two-step inequality is an inequality that requires two operations to isolate the variable. For example, in the inequality 2x + 3 < 7, you would first subtract 3 from both sides and then divide by 2.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality -3x ≤ 18?
Back
To solve -3x ≤ 18, divide both sides by -3, which reverses the inequality sign: x ≥ -6.
3.
FLASHCARD QUESTION
Front
What does the inequality 11 > -3y + 2 mean?
Back
This means that -3y + 2 is less than 11. To solve, subtract 2 from both sides to get -3y < 9, then divide by -3 to find y > -3.
4.
FLASHCARD QUESTION
Front
When do you use an open circle on a graph for an inequality?
Back
An open circle is used when the inequality is > or <, indicating that the endpoint is not included in the solution.
5.
FLASHCARD QUESTION
Front
What does the inequality x < 6 represent on a number line?
Back
It represents all numbers less than 6, with an open circle at 6 to indicate that 6 is not included.
6.
FLASHCARD QUESTION
Front
How do you graph the inequality 7n - 1 > 76?
Back
First, solve for n: 7n > 77, then n > 11. Graph with an open circle at 11 and shade to the right.
7.
FLASHCARD QUESTION
Front
What is the difference between ≤ and < in inequalities?
Back
≤ means 'less than or equal to' and includes the endpoint, while < means 'less than' and does not include the endpoint.
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