Solving and Graphing Multi-step Inequalities
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a multi-step inequality?
Back
A multi-step inequality is an inequality that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, or division.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality 6x + 10 > 5x - 12?
Back
Subtract 5x from both sides: x + 10 > -12. Then, subtract 10 from both sides: x > -22.
3.
FLASHCARD QUESTION
Front
What does the solution x > -22 represent on a number line?
Back
It represents all numbers greater than -22, which is shown as an open circle at -22 and a line extending to the right.
4.
FLASHCARD QUESTION
Front
What is the graph of the inequality -2 ≥ n?
Back
The graph shows a closed circle at -2 and a line extending to the left, indicating all numbers less than or equal to -2.
5.
FLASHCARD QUESTION
Front
How do you graph the inequality k < 3?
Back
Draw an open circle at 3 and shade to the left, indicating all numbers less than 3.
6.
FLASHCARD QUESTION
Front
What is the difference between a closed circle and an open circle on a number line?
Back
A closed circle indicates that the number is included in the solution (≤ or ≥), while an open circle indicates that the number is not included (< or >).
7.
FLASHCARD QUESTION
Front
What is the first step in solving a multi-step inequality?
Back
The first step is to isolate the variable by performing inverse operations, similar to solving an equation.
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