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Chapter 1: Q. 4 (page 97)

Describe the punctured interval around x=2that has a radius of 3 and the punctured interval aroundx=4 that has a radius of 0.25.

Short Answer

Expert verified

The punctured interval around x=2that has a radius of3is -1,3∪3,5.

The punctured interval aroundx=4that has a radius of0.25is3.75,4∪4,4.25.

Step by step solution

01

Step 1. Given information.

Describe the punctured interval around x=2that has a radius of 3and the punctured interval around x=4that has a radius of0.25.

02

Step 2. Calculation.

The radius for x=2is3.

The punctured interval will be:

2-3,3∪3,3+2=-1,3∪3,5.

03

Step 3. Calculation.

The radius for x=4is0.25.

The punctured interval will be:

4-0.25,4∪4,4+0.25=3.75,4∪4,4.25

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