
Solving and Graphing Linear Inequalities
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear inequality?
Back
A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.
2.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean?
Back
The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or equal to a specified number.
3.
FLASHCARD QUESTION
Front
How do you solve the inequality 10 - 3x < 16?
Back
To solve 10 - 3x < 16, subtract 10 from both sides to get -3x < 6, then divide by -3 (remember to flip the inequality sign) to get x > -2.
4.
FLASHCARD QUESTION
Front
What is the solution set for the inequality x ≥ 48?
Back
The solution set for x ≥ 48 includes all real numbers that are 48 or greater.
5.
FLASHCARD QUESTION
Front
How do you graph the inequality 3x - 2y < 10?
Back
First, convert to slope-intercept form: y > (3/2)x - 5. Graph the line y = (3/2)x - 5 as a dashed line, then shade above the line.
6.
FLASHCARD QUESTION
Front
What does the graph of x < -4 look like?
Back
The graph of x < -4 is a number line with an open circle at -4 and shading to the left, indicating all numbers less than -4.
7.
FLASHCARD QUESTION
Front
What does the symbol '<' mean?
Back
The symbol '<' means 'less than'. It indicates that one value is smaller than another.
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