Question
Write the following statement, and its negation, using logical quantifiers. Also interpret its negation in words.
∃ x∈R such that x-1/3 > 0.
Answer :
Word Count : 81
The given statement is: $$ \exists x \in \mathbb{R} \text{ such that } x - \frac{1}{3} ____ ___ _____ ___ ____ ________.
_________ ____ ___ _______ _____ _____ _____ ________ _____ _____.
_________ ________ ____ ___ ________ _______ ___ ___ ______ _______ _________ ________.
______ ______ ___ _______ _______ _____ ________ ___ ______ __________.
__________ ____ ______ ___ ____ ________ ________ ______.
_________ __________ ______ ___ __________ ____.
________ ____ _____ ___ ____ ____ ________ ____ _________ _________ _____ ________.
____.
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The given statement is: $$ \exists x \in \mathbb{R} \text{ such that } x - \frac{1}{3} ____ ___ _____ ___ ____ ________.
_________ ____ ___ _______ _____ _____ _____ ________ _____ _____.
_________ ________ ____ ___ ________ _______ ___ ___ ______ _______ _________ ________.
______ ______ ___ _______ _______ _____ ________ ___ ______ __________.
__________ ____ ______ ___ ____ ________ ________ ______.
_________ __________ ______ ___ __________ ____.
________ ____ _____ ___ ____ ____ ________ ____ _________ _________ _____ ________.
____.
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Related Questions
दिखाइए कि प्रत्येक [a,∞) एक विवृत समुच्चय है।
Find the radius of convergence of the series .
Disprove the statement:
by providing a suitable counter-example.
दिखाइए कि समुच्चय :
विवृत नहीं है।
निम्नलिखित कथन तथा उनके निषेध को तर्कसंगत प्रमात्रकों का प्रयोग करते हुए आप किस प्रकार प्रस्तुत करेंगे? निषेध को शब्दों में भी दीजिए।
निम्नलिखित श्रेणी के अभिसरण की जाँच कीजिए :
A set which is neither open nor closed.
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