2.4 Solving Multi-Step Inequalities
Flashcard
•
Mathematics
•
7th - 10th Grade
•
Practice Problem
•
Hard
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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 combining like terms, adding or subtracting, and multiplying or dividing by negative numbers.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality 14 < -2a + 6 - 2a?
Back
First, combine like terms: -2a - 2a = -4a. Then, rearrange: 14 - 6 > -4a, which simplifies to 8 > -4a. Dividing by -4 (and flipping the inequality) gives a < -2.
3.
FLASHCARD QUESTION
Front
What does the inequality 9 ≥ -2m + 2 - 3 represent?
Back
This inequality can be solved by simplifying the right side: 9 ≥ -2m - 1. Rearranging gives 10 ≥ -2m, which simplifies to m ≥ -5 after dividing by -2.
4.
FLASHCARD QUESTION
Front
What is the solution to the inequality -p - 4p > -10?
Back
Combine like terms: -5p > -10. Dividing by -5 (and flipping the inequality) gives p < 2.
5.
FLASHCARD QUESTION
Front
Which graph represents the inequality -2 ≥ n?
Back
Graph A represents the inequality -2 ≥ n, indicating that n can take values less than or equal to -2.
6.
FLASHCARD QUESTION
Front
How do you solve the inequality -4x + 14 ≤ 54?
Back
First, subtract 14 from both sides: -4x ≤ 40. Then, divide by -4 (flipping the inequality) to get x ≥ -10.
7.
FLASHCARD QUESTION
Front
What is the importance of flipping the inequality sign when multiplying or dividing by a negative number?
Back
Flipping the inequality sign ensures that the relationship between the two sides of the inequality remains true.
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