Write all integers whose absolute values are less than 5.

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Solution

Let x be an integer such that |x| < 5.
∴ -5 < x < 5
=> x = ] -4, 4 [
These are the nine integers whose absolute values are less than 5, namely, -4, -3, -2, -1, 0, 1, 2, 3 and 4.

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Which of the following statements is/are true?

(i) The smallest integer is zero.

(ii) The multiplicative identity for integers is -1.

(iii) The absolute value of an integer is always greater than the integer.

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(i) The smallest integer is zero.

(ii) The multiplicative identity for integers is -1.

(iii) The absolute value of an integer is always greater than the integer.

(iv) Every negative integer is less than any natural number.

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