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Chapter 10: Q48. (page 528)

Solve the inequality 22n鈮�116. Check your solution.

Short Answer

Expert verified

The solution for the inequality is n鈮�-2.

Step by step solution

01

Step 1. Write down the given inequality.

The given inequality is 22n鈮�116.

02

Step 2. Simplify the inequality.

The given inequality 22n鈮�116is solved as:

22n鈮�116....Given22n鈮�16鈭�122n鈮�24鈭�122n鈮�2鈭�42n鈮�鈭�4n鈮�鈭�2

03

Step 3. Verify the result for obtained value.

Plugging n=-2in given inequality and verify the result.

22n鈮�116....Given22鈭�2鈮�1162鈭�4鈮�116124鈮�116116鈮�116....True

Hence the solution is verified for n鈮�-2.

04

Step 4. Conclusion.

The solution for the given inequality is n鈮�-2.

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