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Venn Diagram

Draw Venn dia...

Question

Draw Venn diagram for the truth of the following statements:
a. All rational numbers are real numbers.
b. Some rectangles are squares.

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Solution

(a) Yes, all rational numbers are real numbers. fig $a$ shows corresponding Venn diagram.
(b) Yes, Some Rectangle are square. fig $b$ shows the corresponding Venn diagram.

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Q. State which of the following sentences are statements. In case of statement, write down the truth value:
(a) Every quadratic equation has only real roots
(b)

\sqrt{- 4}

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$(i) \sqrt{2} + \sqrt{3} = \sqrt{5}$

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(viii) Some real numbers are rational numbers.

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