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

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•
Mathematics
•
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 77 ≤ 5 + 8n?
Back
To solve 77 ≤ 5 + 8n, first subtract 5 from both sides to get 72 ≤ 8n, then divide both sides by 8 to find n ≥ 9.
3.
FLASHCARD QUESTION
Front
What does it mean to graph an inequality?
Back
Graphing an inequality involves representing the solutions of the inequality on a number line, using open or closed circles to indicate whether endpoints are included.
4.
FLASHCARD QUESTION
Front
When graphing b < 6, what type of circle is used?
Back
An open circle is used when graphing b < 6, indicating that 6 is not included in the solution.
5.
FLASHCARD QUESTION
Front
What is the solution to the inequality -7x + 1 ≤ 22?
Back
The solution is x ≥ -3, found by isolating x through subtraction and division.
6.
FLASHCARD QUESTION
Front
What happens to the inequality sign when multiplying or dividing by a negative number?
Back
When multiplying or dividing both sides of an inequality by a negative number, the inequality sign must be flipped.
7.
FLASHCARD QUESTION
Front
How do you solve the inequality 2 - 3x ≤ 20?
Back
To solve 2 - 3x ≤ 20, subtract 2 from both sides to get -3x ≤ 18, then divide by -3 (flipping the sign) to find x ≥ -6.
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