Question

State 'T' for true and 'F' for false.
(i) The addition and subtraction of integer cannot be represented on the number line.
(ii) For any three integers a, b and c, $(a+b)+c=(a+c)(b+c)$.
(iii) Under addition, the integer $1$ is its identity.
(iv) The product of even number of negative integers is negative.

• A. (i)-T, (ii)-T, (iii)-F, (iv)-T
• B. (i)-F, (ii)-T, (iii)-F, (iv)-T
• C. (i)-F, (ii)-T, (iii)-T, (iv)-F
• D. (i)-F, (ii)-F, (iii)-F, (iv)-F

Answer 1

The correct option is D (i)-F, (ii)-F, (iii)-F, (iv)-F

(i) False on number line, addition and subtraction of integers can be represented.
(ii) False, $(a+b)+c=a+(b+c)$
hence, the addition of integers is associative
(iii) False, The identify of integers under addition is zero, sw.
(iv) False, The product of even number of negative integer is positive.