Class 11

Math

JEE Main Questions

Mathematical Reasoning

Write the negation of the following statement: $q:$ For every real number $x,$ either $x>1>orx<1.$

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For each of the following compound statements, first identify the corresponding component statements. Then check whether the statements are true or not.(i) If a triangle ABC is equilateral, then it is isosceles.(ii) If a and b are integers, then ab is a rational number.

Find out weather following sentence is a statement or not. Justify your answer: Is the earth round?

Write the negation of the following statement: $7 $ is rational.

Write the negation of the following statement: New Delhi is a city.

Is the following sentence statement or proposition? Justify your answer: Paris is in England

Consider the following sentence: the earth is a star. Is it a statement?

Find out whether the following sentence is a statement or not. Justify your answer: All real numbers are complex numbers.

The statement $pqp $is equivalent to