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Chapter 4: Q. 2 (page 247)

Solve the inequalityx2鈮�xand graph the solution set.

Short Answer

Expert verified

The solution set of inequality is-鈭�,0鈭�1,鈭�

Step by step solution

01

Step 1. Given Information

The given inequality isx2鈮�x

02

Step 2. Calculation

Solve the inequality by rearranging it such that the right side has 0.

x2-x鈮�0x(x-1)鈮�0

To determine the real zero, substitute the function equal to zero.

x(x-1)=0x=0orx-1=0鈬�x=1

Thus, the real number line can be divided into three intervals as follows,

Thus, the solution set of the inequality is-鈭�,0鈭�1,鈭�

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