Solve and write interval notation for the solution set. Also, graph the solution set. a. -3 < 5x +1<3 b. -5< (3x + 1) < 7 c. 2x – 20 < -0.8 or 2x – 20 > 0.8 | d. 5x + 11 < -4 or 5x + 11 > 4
Solve and write interval notation for the solution set. Also, graph the solution set. a. -3 < 5x +1<3 b. -5< (3x + 1) < 7 c. 2x – 20 < -0.8 or 2x – 20 > 0.8 | d. 5x + 11 < -4 or 5x + 11 > 4
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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Transcribed Image Text:## Solving and Writing Interval Notation for Solution Sets
### Problem 3
Solve the inequalities and write the solution set in interval notation. Graph the solution set as well.
a. \(-3 \leq 5x + 1 \leq 3\)
b. \(-5 < \frac{1}{2}(3x + 1) < 7\)
c. \(2x - 20 < -0.8 \ \text{or} \ 2x - 20 > 0.8\)
d. \(5x + 11 \leq -4 \ \text{or} \ 5x + 11 \geq 4\)
### Explanation of Graphs
For each inequality, after solving for \(x\), graph the range of values on a number line. For compound inequalities, use open or closed circles to indicate inclusive or exclusive bounds, respectively, and shade the region where the inequalities hold true.
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