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Inequality

Suppose x and...

Question

Suppose $x$ and $y$ are natural numbers, then the number of ordered pairs $(x, y)$ which satisfy $x + y \leq 5$ is

A

25

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B

16

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C

9

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D

10

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Solution

The correct option is D $10$
$x, y$ are natural numbers
$x + y \leq 5$
$x = 1 \Rightarrow y = 1, 2, 3, 4$
$x = 2 \Rightarrow y = 1, 2, 3$
$x = 3 \Rightarrow y = 1, 2$
$x = 4 \Rightarrow y = 1$
$∴$ no. of ordered pairs is $10$

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