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Chapter 7: Q59. (page 352)

Solve the inequality x2-8x+12<0 algebraically.

Short Answer

Expert verified

The solution for the inequality is 2<x<6.

Step by step solution

01

Step 1. Write down the given inequality.

The given inequality is x2-8x+12<0.

02

Step 2. Solve the given inequality.

Solving the inequality x2-8x+12<0 by factoring it.

x2−8x+12<0....Givenx−2x−6<0....Factoring2<x<6x∈2,6

03

Step 3. Conclusion.

The solution for the inequality is 2<x<6.

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fx=x3-2x2+6
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