Name any four activities which
♦ you can do without water.

♦ you cannot do without water.

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Solution

Disclaimer: The purpose of this section is to make the students observe their surroundings. It is recommended that the students prepare the answer on their own. A sample answer is provided for reference.

♦ you can do without water.

Dance Light a bulb Play Sleep

♦ you cannot do without water.

Cook Wash Bath Paint

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Show that the points (a + 5, a - 4), (a - 2, a + 3) and (a, a) do not lie on a straight line for any value of a.

A = {1, 2, 3, 4}, B = {1, 2, 3, 5, 6}

A \cap B

B \cap A

A - B

B - A

For any two sets A and B, prove that

(i) $(A \cup B) - B = A - B$

(ii) $A - (A \cap B) = A - B$

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(iv) $A \cup (B - A) = A \cup B$

(v) $(A - B) \cup (A \cap B) = A$

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