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Chapter 2: Q22. (page 106)

Solve each equation. Then graph the solution set.

n鈭�3=5

Short Answer

Expert verified

The equation n鈭�3=5has solution set as n=8and n=鈭�2and the graph of the solution set is:

Step by step solution

01

Step-1. Define absolute value equation.

For any real numbers a and b, ifa=b and b鈮�0, thena=b or a=鈭�b.

02

Step-2. Formulate case 1 when n−3=5.

Simplify the expression for n.

n鈭�3+3=5+3n=8

03

Step-3. Formulate case 2 when n−3=−5.

Simplify the expression for n.

n鈭�3+3=鈭�5+3n=鈭�2

04

Step-4. Plot the graph of the solution set.

From case 1 and case 2, n=8,鈭�2. Plot these values on the number line.

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n+14=27 localid="1642580736988" 12+n=25鈥夆赌夆赌夆赌夆赌�n鈭�16=29鈥夆赌夆赌夆赌夆赌夆�夆��n鈭�4=9

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