To show:a < frac{a+b}{2} < bGiven information:a and b are real numbers.

nitraiddQ 2021-02-01 Answered

To show:
a < a+b2 < b
Given information:
a and b are real numbers.

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Expert Answer

odgovoreh
Answered 2021-02-02 Author has 107 answers

Concept used:
Number which can be written on number line called real number.
Calculation:
Let a=2 and b=3
a < b
2 < 3
Then
a + b2=2 + 32
=52
=2.5
Hence, a + b2 is in between a and b.
a < a + b2 < b
Conclusion:
For real number a and b, if a < b then< a + b2 < b

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