Question

Compare the quantities ab +ac+k and ab +k-ac, if c is negative rational number​

Answer 1

Answer:

(ab + ac + k) > (ab + k - ac)

Step-by-step explanation:

The reason being that :

We know that every negative number is clearly smaller that every positive number.

Thus, on similar logic, we have two equations -

(i) ab + ac + k

(ii) ab + k - ac

If we compare equations (i) and (ii), we get that, in both of them ab + k is common. Thus the value of both equations till ab + k is equal. But we can notice that in equation (i) there is + ac and in equation (ii) there is (-ac) . Hence in equation (i) ac is added but in equation (ii), ac is subtracted. Clearly equation (i) is greater than equation (ii).

eq. (i) > eq. (ii).

Hence,

(ab + ac + k) > (ab + k - ac)