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2) Rewrite each of the of the following inequalities expressions in interval notation and graph them on a real number line a) 4 11

2) Rewrite each of the of the following inequalities expressions in interval notation and graph them on a real number line a) 4 11

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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**Problem 2: Inequality to Interval Notation and Graph** Rewrite each of the following inequalities in interval notation and graph them on a real number line. **a) \( 4 < x \)** *Interval Notation*: \((4, \infty)\) **b) \( -2 < x < 7 \) or \( x > 11 \)** *Interval Notation*: \((-2, 7) \cup (11, \infty)\) **Graph Explanation:** 1. For part (a), the graph would be a number line with an open circle at 4 and an arrow pointing to the right, indicating all numbers greater than 4 extending to infinity. 2. For part (b), the graph would include: - An open interval between -2 and 7, shown by open circles at both -2 and 7, indicating all numbers between -2 and 7. - An open circle at 11 with an arrow pointing to the right, representing all numbers greater than 11.
Transcribed Image Text:**Problem 2: Inequality to Interval Notation and Graph** Rewrite each of the following inequalities in interval notation and graph them on a real number line. **a) \( 4 < x \)** *Interval Notation*: \((4, \infty)\) **b) \( -2 < x < 7 \) or \( x > 11 \)** *Interval Notation*: \((-2, 7) \cup (11, \infty)\) **Graph Explanation:** 1. For part (a), the graph would be a number line with an open circle at 4 and an arrow pointing to the right, indicating all numbers greater than 4 extending to infinity. 2. For part (b), the graph would include: - An open interval between -2 and 7, shown by open circles at both -2 and 7, indicating all numbers between -2 and 7. - An open circle at 11 with an arrow pointing to the right, representing all numbers greater than 11.
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