If x and y are distinct integers- which of the following is true about x-y-2 -A- less than x and greater than yB- between x and yC- less than both x and yD- greater than both x and y

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Standard VII

Mathematics

Median

If x and y ar...

Question

If x and y are distinct integers, which of the following is true about $\frac{x + y}{2}$ ?

less than x and greater than y

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greater than both x and y

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less than both x and y

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between x and y

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Solution

The correct option is D
between x and y

It is the average of two numbers x and y. As we know that average of any two numbers lies within the given number. So, the value of $\frac{x + y}{2}$ lies within x and y.

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Similar questions

If $x$ and $y$ are distinct rational numbers which of the following is true about $\frac{x + y}{2}$ ?

Question 24
$\frac{x + y}{2}$ is a rational number
(a) Between x and y
(b) Less than x and y both.
(c) Greater than x and y both.
(d) Less than x but greater than y.

Question 24
$\frac{x + y}{2}$ is a rational number
(a) Between x and y
(b) Less than x and y both.
(c) Greater than x and y both.
(d) Less than x but greater than y.

In the following question, two equations are given. Solve both the equations and mark the corresponding answer, if:

a) x is greater than y

b) x is less than y

c) x is greater than or equal than y

d) x is less than or equal to y

e) x = y or a definite relationship between x & y cannot be established

2x $^{2}$ + 3x + 1 = 0

12y $^{2}$ + 7y + 1 = 0

In the following question, two equations are given. Solve both the equations and mark the corresponding answer, if:

a) x is greater than y

b) x is less than y

c) x is greater than or equal than y

d) x is less than or equal to y

e) x = y or a definite relationship between x & y cannot be established

I. x $^{2}$ + 4x + 4 = 0

II.y $^{2}$ - 8y + 16 = 0

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If x and y are distinct integers, which of the following is true about x+y2?

The correct option is D between x and y It is the average of two numbers x and y. As we know that average of any two numbers lies within the given number. So, the value of x+y2 lies within x and y.

If x and y are distinct integers, which of the following is true about $\frac{x + y}{2}$ ?

The correct option is D
between x and y

It is the average of two numbers x and y. As we know that average of any two numbers lies within the given number. So, the value of $\frac{x + y}{2}$ lies within x and y.