Absolute Value and Inequalities Quiz

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4 Questions

What is the absolute value of -5?

5

Which property is used to solve the absolute value inequality 5 − 2𝑥 < 1?

Subtraction property of inequalities

What is the solution to the absolute value inequality 2𝑥 − 1 < 5?

$2 < x < 3$

What does the absolute value of a real number represent?

Its magnitude

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.

Test your knowledge on absolute value, inequalities, and complex numbers with this quiz. Explore the definition, examples, properties, and operations with absolute value. Practice solving absolute value inequalities and understanding the properties of inequalities.

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