What is a two-step inequality?
Two-Step Inequalities

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•
Mathematics
•
6th - 7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A two-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality 2 - 3x ≤ 20?
Back
Subtract 2 from both sides to get -3x ≤ 18, then divide by -3 (remember to flip the inequality sign) to find x ≥ -6.
3.
FLASHCARD QUESTION
Front
What does the inequality 22 < 6c + 4 represent?
Back
It represents a relationship where 6c + 4 must be greater than 22. Solving it gives c > 3.
4.
FLASHCARD QUESTION
Front
How do you graph the solution to the inequality 77 ≤ 5 + 8n?
Back
First, solve for n to get n ≥ 9. Then, graph a closed circle at 9 and shade to the right.
5.
FLASHCARD QUESTION
Front
What is the solution to the inequality 7 - 3n ≥ -53?
Back
To solve, subtract 7 from both sides to get -3n ≥ -60, then divide by -3 to find n ≤ 20.
6.
FLASHCARD QUESTION
Front
What is the first step in solving the inequality 7k - 2 ≥ -9?
Back
Add 2 to both sides to isolate the term with k, resulting in 7k ≥ -7.
7.
FLASHCARD QUESTION
Front
What happens to the inequality sign when you multiply or divide by a negative number?
Back
The inequality sign flips when you multiply or divide both sides of an inequality by a negative number.
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