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Questions and Answers
What is the absolute value of -5?
What is the absolute value of -5?
- 5 (correct)
- -5
- 0
- None of the above
Which property is used to solve the absolute value inequality 5 − 2𝑥 < 1?
Which property is used to solve the absolute value inequality 5 − 2𝑥 < 1?
- Subtraction property of inequalities (correct)
- Division property of inequalities
- Addition property of inequalities
- Multiplication property of inequalities
What is the solution to the absolute value inequality 2𝑥 − 1 < 5?
What is the solution to the absolute value inequality 2𝑥 − 1 < 5?
- $2 < x < 3$ (correct)
- $x > 4$
- $x > 3$
- $x < 2$
What does the absolute value of a real number represent?
What does the absolute value of a real number represent?
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Study Notes
Absolute Value
- The absolute value of -5 is 5.
Properties of Absolute Value Inequality
- The property used to solve the absolute value inequality 5 − 2𝑥 < 1 is not specified, but it likely involves isolating the absolute value expression.
Solving Absolute Value Inequality
- The solution to the absolute value inequality 2𝑥 − 1 < 5 involves isolating the absolute value expression, which would be |2𝑥 - 1| < 5.
Representation of Absolute Value
- The absolute value of a real number represents its distance from zero on the number line, without considering whether it is positive or negative.
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