Q11Multiple choice
Identify the Quantifiers in the following statements.
- (i)There exists a triangle which is not equilateral.
- (ii)For all real numbers x and y, xy = yx.
- (iii)There exists a real number which is not a rational number.
- (iv)For every natural number x, x + 1 is also a natural number. (v) For all real numbers x with x > 3, x2 is greater than 9. (vi) There exists a triangle which is not an isosceles triangle. (vii) For all negative integers x, x3 is also a negative integers. (viii) There exists a statement in above statements which is not true. (ix) There exists a even prime number other than 2. (x) There exists a real number x such that x2 + 1 = 0. MATHEMATICAL REASONING 265