Question

V = {x:x is a 2-digit number such that the sum of digits is 6

Answer 1

Answer:

V = { 24,42,33,60,51,15}

Answer 2

The answer is V = {15, 24, 33, 42, 51, 60}.

Given: V = {x:x is a 2-digit number such that the sum of digits is 6}

To Find: the solution of the set in the roster form

Solution:

The list of 2-digit numbers whose digits sum up to 6 are as follows:

1 + 5 = 6

2 + 4 = 6

3 + 3 = 6

4 + 2 = 6

5 + 1 = 6

6 + 0 = 6

∴ The solution in the roster set,

V = {15, 24, 33, 42, 51, 60}

Answer) The roster set is V = {15, 24, 33, 42, 51, 60}.

Sets

• Sets refer to the groups of elements that have some feature in common. Sets are always written within second brackets. They can be written in three ways- descriptive form, roster method, and set builder form.

• The given question is in the set builder form, where the elements of the set have been assigned to the variable x, and a function has been created with that variable.

• In the roster form, we need to list out the elements of the set by following the description of the set.

• In the given set, we need to find two-digit numbers whose sum gives us the number 6. Thus, I created a list and then wrote them in the roster form.

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