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Identify the quantifier in the following...

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`.(iii) There exists a capital for every state in india.

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To solve the problem, we will identify the quantifiers in each statement and then write the negation of each statement. ### Step 1: Identify the Quantifiers 1. **Statement (i)**: "There exists a number which is equal to its square." - **Quantifier**: "There exists" (∃) 2. **Statement (ii)**: "For every real number x, x is less than x + 1." ...
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