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Sets — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsSets1 Mark
Question
Write the following sets using listing method and classify into finite or infinite set :

D = {(a, b) | a, b ∈ W, a + b = 9}

✓

Answer

$\mathrm{D}=\{(a, b) \mid a, b \in \mathrm{W}, a+b=9\}$
We have to find the pairs of $a$ and $\mathrm{b}$ such that, $a$ and $b$ are whole numbers and $a+b=9$.
Let us first write the value of $a$ and then the value of $b$. By keeping this order set $\mathrm{D}$ can be written as
$
\mathrm{D}=\{(0,9),(1,8),(2,7),(3,6),(4,5),(5,4),(6,3),(7,2),(8,1),(9,0)\} \text {, }
$
In this set, the number of pairs is finite and could be counted
$\therefore$ Set $\mathrm{D}$ is a finite set.

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