Solving Inequalities
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an inequality?
Back
An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.
2.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean?
Back
The symbol '≤' means 'less than or equal to'.
3.
FLASHCARD QUESTION
Front
How do you solve the inequality 4x - 10 ≤ 22?
Back
Add 10 to both sides: 4x ≤ 32. Then divide by 4: x ≤ 8.
4.
FLASHCARD QUESTION
Front
What does the solution x ≤ 8 represent on a number line?
Back
It represents all numbers to the left of 8, including 8 itself.
5.
FLASHCARD QUESTION
Front
What is the difference between an open circle and a closed circle on a graph?
Back
An open circle indicates that the number is not included (e.g., > or <), while a closed circle indicates that the number is included (e.g., ≥ or ≤).
6.
FLASHCARD QUESTION
Front
How do you graph the inequality 2x + 3 < 7?
Back
First, solve for x: 2x < 4, so x < 2. Graph with an open circle at 2 and shade to the left.
7.
FLASHCARD QUESTION
Front
What is the solution to the inequality -2x + 3(-4x + 6) ≤ 116?
Back
The solution is x ≥ -7.
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