Write an inequality to describe the following set. The slab bounded by the planes y = 0 and y= 3 (planes not included)

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 Statement:**

Write an inequality to describe the following set.

The slab bounded by the planes \( y = 0 \) and \( y = 3 \) (planes not included)

**Explanation:**

To describe the set of points within the slab bounded by the planes \( y = 0 \) and \( y = 3 \), excluding the planes themselves, we use a strict inequality. The region includes all the points for which the y-coordinate is greater than 0 and less than 3.

**Inequality:**

\[ 0 < y < 3 \]
Transcribed Image Text:**Problem Statement:** Write an inequality to describe the following set. The slab bounded by the planes \( y = 0 \) and \( y = 3 \) (planes not included) **Explanation:** To describe the set of points within the slab bounded by the planes \( y = 0 \) and \( y = 3 \), excluding the planes themselves, we use a strict inequality. The region includes all the points for which the y-coordinate is greater than 0 and less than 3. **Inequality:** \[ 0 < y < 3 \]
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