Jasper Eng's answer to Yos's Secondary 4 E Maths Singapore question.
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Direct Set law method:
A u (A n B)
= A (absorption Law)
Or Element method:
We will prove both direction:
=>
Let x be an element of A u (A n B)
x in A and x in (A n B)
:. x in A -----(1)
<=
Assume x in A
Then x also in A u Anything,
In other words
X in A u (A n B) ------(2)
:. By (1) and (2)
Hence A u (A n B) = A
A u (A n B)
= A (absorption Law)
Or Element method:
We will prove both direction:
=>
Let x be an element of A u (A n B)
x in A and x in (A n B)
:. x in A -----(1)
<=
Assume x in A
Then x also in A u Anything,
In other words
X in A u (A n B) ------(2)
:. By (1) and (2)
Hence A u (A n B) = A
Date Posted:
3 years ago
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