Question

If a and b are two rational numbers where a is less than b ,then *
(a+b)/2 < a
( a+b)/2 < b
(a+b)/2 = a
(a+b)/2 > b

Answer 1

Answer:

a+b/2>b

Step-by-step explanation:

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Answer 2

Concept:

Rational numbers are one very common type of number that we usually study after integers in math. These numbers are in the form of p/q, where p and q can be any integer and q ≠ 0.

Greater than can be defined as an inequality used to compare two or more numbers, quantities or values.

Given:

a and b are two rational number and a< b.

To find:

We need to find which of the given options is correct.

Solutions:

Now, from the given information we know

a < b

⇒a+b < b+b           [ adding b on both sides ]

⇒ a+b < 2b

⇒ $\frac{a+b}{2} < b$

Therefore, the correct option is $\frac{a+b}{2} < b$.