Question

is A={x:x N belongs to and x<20} and B={x:x belongs to N
$\leqslant$
20}​

Answer 1

Answer:

Answer:

{ x : x € N , 5 < x < 20 }

OR

{ x : x € N , 6 ≤ x < 20 }

OR

{ x : x € N , 5 < x ≤ 19 }

OR

{ x : x € N , 6 ≤ x ≤ 19 }

Solution:

We have ;

A = { x : x € N and x < 20 }

B = { x : x € N and x ≤ 5 }

Clearly,

The given sets A and B are in set builder form.

Thus,

The given sets A and B in roster form will be ;

A = { 1 , 2 , 3 , ... , 19 }

B = { 1 , 2 , 3 , 4 , 5 }

Now,

( A - B ) in roster form will be ;

=> A - B = {1 , 2 , 3 , ... , 19} - {1 , 2 , 3 , 4 , 5}

=> A - B = { 6 , 7 , 8 , ... , 19 }

Thus,

The set (A - B) in set builder form will be ;

{ x : x € N , 5 < x < 20 }

OR

{ x : x € N , 6 ≤ x < 20 }

OR

{ x : x € N , 5 < x ≤ 19 }

OR

{ x : x € N , 6 ≤ x ≤ 19 }

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Step-by-step explanation: