1.

Use quantifiers to convert each of the following open sentences defined on N, into a true statement: (i) x+5=8 (ii) x^(2)gt0 (iii) x+2lt4

Answer»

Solution :(i) `EXISTS x in N" such that "x+5=8" is a TRUE statement, since "x= 3 in N" satisfies "x+5=8,`
(ii) `x^(2)gt 0 AA x in N` is a true statement, since the square of EVERY natural number is positive.
(iii)`exists x in N" such that "x+2lt4" is a true statement, since "x=1 in N" satisfies "x+2lt4.`


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