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Chapter 4: Q. 44 (page 246)

Solve each inequality. Graph the solution set.

(x-2)(x-1)x-3鈮�0

Short Answer

Expert verified

The real zeroes of the function are 1,2 and 3 and the solution set can be graphed as

Step by step solution

01

Step 1. Given Information 

The given inequality is(x-2)(x-1)(x-3)鈮�0

02

Step 2. Calculation

The inequality is already in a form with zero on the right side.

Solve the given inequality by finding the real zeroes of the numerator and denominator.

x-2=0鈬�x=2x-1=0鈬�x=1x-3=0鈬�x=3

Thus, real zeroes of the function are 1, 2 and 3.

03

Step 3. Graph 

Construct the table by using a number from each interval to check whether the function is positive or negative.

Thus, the solution set is x|1鈮�x鈮�2orx>3

And the solution set can be graphed as

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