Since all numbers can't be both positive and negative. Thus, the 'or' in the given assertion is selective.
State whether the “Or” used in the following statements is “exclusive “or” inclusive. Give reasons for your answer. (i) Sun rises or Moon sets. (ii) To apply for a driving licence, you should have a ration card or a passport.
(I) It isn't workable for the Sun to rise and the Moon to set together. Thus, the 'or' in the given assertion is selective. (ii) Since an individual can have both a proportion card and a visa to...
Check whether the following pair of statements is negation of each other. Give reasons for the answer. (i) x + y = y + x is true for every real numbers x and y. (ii) There exists real number x and y for which x + y = y + x.
The negative of \[\left( I \right)\] is given below There exists genuine number \[x\text{ }and\text{ }y\]for which \[x\text{ }+\text{ }y\text{ }\ne \text{ }y\text{ }+\text{ }x\] Now, this statement...
Identify the quantifier in the following statements and write the negation of the statements. There exists a capital for every state in India.
Here, the quantifier is 'there exists'. The invalidation of this assertion is as per the following In India there exists a state, which doesn't have a capital.
Identify the quantifier in the following statements and write the negation of the statements. (i) There exists a number which is equal to its square. (ii) For every real number x, x is less than x + 1.
(I) Here, the quantifier is 'there exists'. The invalidation of this assertion is as per the following There doesn't exists a number which is equivalent to its square (ii) Here, the quantifier is...
For each of the following compound statements first identify the connecting words and then break it into component statements. (i)The sand heats up quickly in the Sun and does not cool down fast at night. (ii) \[\mathbf{x}~=\text{ }\mathbf{2}\text{ }\mathbf{and}~\mathbf{x}~=\text{ }\mathbf{3}\] are the roots of the equation \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}~~\mathbf{x}~\text{ }\mathbf{10}\text{ }=\text{ }\mathbf{0}.\].
(i) In this sentence 'and' is the associating word The part proclamations are as per the following (a) The sand warms up rapidly in the Sun (b) The sand doesn't chill off quick around evening time...