Question

slove this set.........{(a+b) | a,b € W, a+b=9}

Answer 1

We have to show the set given below in roster form.

$\{(a,\ b)\mid a,\ b\in \mathbb{W},\ a+b=9\}$

Given that a and b belong to the set of whole numbers.

And also it's given that a + b should be equal to 9.

The given below are the possibilities for sum of two whole numbers being 9.

1. 0 + 9 = 9

2. 1 + 8 = 9

3. 2 + 7 = 9

4. 3 + 6 = 9

5. 4 + 5 = 9

Hence, possible ordered pairs (a, b) are given below.

(0, 9)

(1, 8)

(2, 7)

(3, 6)

(4, 5)

(5, 4)

(6, 3)

(7, 2)

(8, 1)

(9, 0)

So, we can write the set in roster form.

{(0, 9), (1, 8), (2, 7), (3, 6), (4, 5), (5, 4), (6, 3), (7, 2), (8, 1), (9, 0)}