Identify the quantifiers in the following statements:
i. There exists a triangle that is not equilateral.
ii. For all real numbers and , .
iii. There exists a real number that is not a rational number.
iv. For every natural number , is also a natural number.
v. For all real numbers with , .
vi. There exists a triangle that is not an isosceles triangle.
vii. For all negative integers , is also a negative integer.
viii. There exists a statement in the above statements that is not true.
ix. There exists an even prime number other than 2.
x. There exists a real number such that .
Identify the quantifiers in the following statements:
i. There exists a triangle that is not equilateral.
ii. For all real numbers and , .
iii. There exists a real number that is not a rational number.
iv. For every natural number , is also a natural number.
v. For all real numbers with , .
vi. There exists a triangle that is not an isosceles triangle.
vii. For all negative integers , is also a negative integer.
viii. There exists a statement in the above statements that is not true.
ix. There exists an even prime number other than 2.
x. There exists a real number such that .
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1 Answer
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This is a short answer type question as classified in NCERT Exemplar
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