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

Question

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

Answer 1

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
$\frac{a + b}{2} = \frac{2 + 3}{2}$
$= \frac{5}{2}$
$= 2.5$
Hence, $\frac{a + b}{2}$ is in between a and b.
$a < \frac{a + b}{2} < b$
Conclusion:
For real number a and b, if $a < b then < \frac{a + b}{2} < b$

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

Expert Answer

Not exactly what you’re looking for?

You might be interested in

New questions