MyQuestionIcon

4

You visited us 4 times! Enjoying our articles? Unlock Full Access!

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.

Open in App

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.

Suggest Corrections

thumbs-up

0

Similar questions

Q. What is the correct translation of the following
statement into mathematical logic?
"Some real numbers are rational"

Q. Statements: All squares are circles.
All circles are triangles.
Some rectangles are triangles.
Conclusions: I. All circles being rectangles is a possibility.
II. Some triangles are squares.

Q. Statements: All squares are circles.
All circles are triangles.
Some rectangles are triangles.
Conclusions: I. All squares being rectangle is a possibility.
II. At least some rectangles are circles.

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}

is a rational number

State, in each case, whether true or false.

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

$(i i) 2 \sqrt{4} + 2 = 6$

$(i i i) 3 \sqrt{7} - 2 \sqrt{7} = \sqrt{7}$

$(i v) \frac{2}{7}$ is an irrational number.

$(v) \frac{5}{11}$ is a rational number.

(vi) All rational numbers are real numbers.

(vii) All real numbers are rational numbers.

(viii) Some real numbers are rational numbers.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Venn Diagrams

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon