Question

7. For rational numbers x = -2/3, Y= -7/4 and Z = 5/12, check if the following statements are correct.

(b) (x - y) – z = x -(y - z)
(d) x + y = y + x
(a) x + y = y + z
(c) x-y=y-x​

Answer 1

Step-by-step explanation:

(b) (-2/3 +7/4) - 5/12)= - 2/3 - ( - 7/4 - 5/12)

(-8+21/12)-5/12 = - 2/3 - (-21-5/12)

13/12-5/12 = - 2/3 - 26/12

8/12 = - 8-26/12

2/3 = 34/12. 2/3 not equal 17/6

(d) - 2/3-7/4 = - 7/4-2/3

-8-21/12 = - 21-8/12

-29/12 = - 29/12

(a) - 2/3-7/4 = - 7/4+5/12

-29/12 not equal - 16/12

(c) - 2/3+7/4 = - 7/4+2/3

-8+21/12 = - 21+8/12

13/12 not equal - 13/12