Absolute Value Equations and Inequalities Review 2

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What is the definition of absolute value?

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The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

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x = -11 or x = \frac{40}{3}.

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It represents the values of x that satisfy -28 \le 7x \le 28, which simplifies to -4 \le x \le 4.

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x = \frac{1}{2} or x = -\frac{1}{2}.

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x = 10 or x = -10.

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x = 12 or x = -12.

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What is the general form of an absolute value equation?

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An absolute value equation is generally in the form |A| = B, where A is an expression and B is a non-negative number.

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How do you graph an absolute value function?

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An absolute value function is V-shaped and opens upwards. The vertex is at the point where the expression inside the absolute value equals zero.

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What is the difference between absolute value equations and inequalities?

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Absolute value equations have specific solutions, while absolute value inequalities represent a range of values.

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The solution set is (-a, a), meaning all values between -a and a, not including -a and a.