Challenging Inequality problem 2

Given that k>0, solve the inequality

Tex2Img_1403745124

Express your answer in terms of k.

Solution

First, we determine the roots of Tex2Img_1403745469

Tex2Img_1403745616

Then we need to determine whether the roots are bigger or smaller than k, so we can sketch the number line.

Since k> 0

Tex2Img_1403745757

Tex2Img_1403745810

k CodeCogsEqn (4) or CodeCogsEqn (5)

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