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Chapter 10: Q51. (page 528)

Solve the inequality 16n<8n+1. Check your solution.

Short Answer

Expert verified

The solution for the inequality is n<3.

Step by step solution

01

Step 1. Write down the given inequality.

The given inequality is 16n<8n+1.

02

Step 2. Simplify the inequality.

The given inequality 16n<8n+1is solved as:

16n<8n+1....Given24n<23n+124n<23n+34n<3n+3n<3

03

Step 3. Verify the result for obtained value.

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

16n<8n+1....Given162<82+1162<83256<512....True

Hence the solution is verified for n=2.

04

Step 4. Conclusion.

The solution for the given inequality is n<3.

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