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Chapter 2: Q. 615 (page 221)

In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.

|2x鈥�鈭�鈥�5|鈥�鈮�鈥�3

Short Answer

Expert verified

The solution of the given equation is 1,鈥�4and graph of the equation is

Step by step solution

01

Step 1. Given Information.

The given equation is |2x鈥�鈭�鈥�5|鈥�鈮�鈥�3 .

02

Step 2. Solve the given equation.

Solving |2x鈥�鈭�鈥�5|鈥�鈮�鈥�3.

Applying absolute rule.

-3鈮�鈥�2x-5鈮�鈥�3

03

. Simplifying the equation and Graph .

Solving equation

2x-5鈮�-3and2x-5鈮�32x鈮�-3+5and2x鈮�3+5x鈮�鈥�1and鈥�x鈮�鈥�41鈮�鈥�x鈮�鈥�4

Hence, The solution is 1,鈥�4and graph is shown as:-

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