Solving & Graphing Multi-Step Inequalities

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What does the inequality x < -4 represent on a number line?
Back
The solution set includes all numbers less than -4, represented by an open circle at -4 and shading to the left.
2.
FLASHCARD QUESTION
Front
When solving the inequality -3x ≥ 12, what should you do with the inequality sign?
Back
You need to flip the inequality sign when dividing or multiplying by a negative number.
3.
FLASHCARD QUESTION
Front
How do you solve the inequality -3x + 2 ≤ 20?
Back
Subtract 2 from both sides to get -3x ≤ 18, then divide by -3 and flip the sign to get x ≥ -6.
4.
FLASHCARD QUESTION
Front
What is the first step to graph the solution set of the inequality -4n + 1 > -23?
Back
First, isolate n by subtracting 1 from both sides to get -4n > -24, then divide by -4 and flip the sign to get n < 6.
5.
FLASHCARD QUESTION
Front
When solving the inequality 3x ≥ -12, do you need to flip the inequality sign?
Back
No, you do not need to flip the inequality sign because you are dividing by a positive number.
6.
FLASHCARD QUESTION
Front
What is an inequality?
Back
An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.
7.
FLASHCARD QUESTION
Front
What is the difference between a strict inequality and a non-strict inequality?
Back
A strict inequality (e.g., < or >) does not include the boundary point, while a non-strict inequality (e.g., ≤ or ≥) includes the boundary point.
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