a. Which of the following represents all values of x whose distance from 5 is less than 6? Select all that apply. O lx – 5| < 6 Ox – 6| > 5 Olx – 5| < 6 - Olx – 6| < 5 - b. Which of the following represents all values of r whose distance from 4 is more than 0.8? Select all that apply. Olr – 0.8| > 4 Or – 0.8| < 4 Or – 4| < 0.8 Olr – 4| > 0.8 c. Which of the following represents all values of s

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Absolute Value Inequalities

**a. Which of the following represents all values of \( x \) whose distance from 5 is less than 6? Select all that apply.**

- \(\square \ |x - 5| < 6\)

- \(\square \ |x - 6| > 5\)

- \(\square \ |x - 5| \leq 6\)

- \(\square \ |x - 6| < 5\)

**b. Which of the following represents all values of \( r \) whose distance from 4 is more than 0.8? Select all that apply.**

- \(\square \ |r - 0.8| > 4\)

- \(\square \ |r - 0.8| < 4\)

- \(\square \ |r - 4| < 0.8\)

- \(\square \ |r - 4| > 0.8\)

**c. Which of the following represents all values of \( s \) whose distance from -4 is no more than 1.5? Select all that apply.**

- \(\square \ |s - 4| \leq 1.5\)

- \(\square \ |s + 4| < 1.5\)

- \(\square \ |s + 4| \leq 1.5\)

- \(\square \ |s - 4| < 1.5\)
Transcribed Image Text:### Absolute Value Inequalities **a. Which of the following represents all values of \( x \) whose distance from 5 is less than 6? Select all that apply.** - \(\square \ |x - 5| < 6\) - \(\square \ |x - 6| > 5\) - \(\square \ |x - 5| \leq 6\) - \(\square \ |x - 6| < 5\) **b. Which of the following represents all values of \( r \) whose distance from 4 is more than 0.8? Select all that apply.** - \(\square \ |r - 0.8| > 4\) - \(\square \ |r - 0.8| < 4\) - \(\square \ |r - 4| < 0.8\) - \(\square \ |r - 4| > 0.8\) **c. Which of the following represents all values of \( s \) whose distance from -4 is no more than 1.5? Select all that apply.** - \(\square \ |s - 4| \leq 1.5\) - \(\square \ |s + 4| < 1.5\) - \(\square \ |s + 4| \leq 1.5\) - \(\square \ |s - 4| < 1.5\)
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