1.

Which of the following sentences are statements ? Give reasons for your answer. (i) there are 35 days in a month. (ii) mathematics is difficult. (iii) the sum of 5 and 7 is greater than 10. (iv)the square of a number is an even number. (v) the sides of a quadrilateral have equal length. (vi) answer this question. (vii) the product of (-1) and 8 is 8. (viii) the sum of all interior angles of a triagle is 180^@. (ix) today is a windy day. (x) all real numbers are complex numbers.

Answer»

SOLUTION :(i) it is always falase.
`therefore` given sentence is a STATEMENT.
(II) mathematics can be easy for someone and difficult for some other one.
`therefore` given sentence is not a statement.
(iii) this sentence is true.
`therefore` given sentence is a statement.
(iv) this sentence is sometimes true and sometimes false.
`therefore` given sentence is not a statement.
(v) this sentence is sometimes true and sometimes false .
`therefore` given sentence is not a statement.
(vi) it is a order.
`therefore` given sentence is not a statement.
(vii) this sentence is always false.
`therefore` given sentence is a statement.
(VIII) this sentence is always true.
`therefore` given sentence is a statement.
(ix) here, the word 'today' is used.
`therefore` given sentence is not a statement.
(x) all REAL numbers can be expressed in the form of complex numbers.
`therefore` given sentence is a statement.


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