If x = a, then which of the following is not always true for an integer k.
(a) kx = ak
(b) x/k = a/k
(c) x - k = a - k
(d) x + k = a + k

Solution:

Given, x = a

We have to find the option which is not true for an integer k.

(i) Considering kx = ak

Cancelling out common term, we get

x = a

(ii) Considering x/k = a/k

Taking out (1/k) as common,

(1/k)x = (1/k)a

Cancelling out common term,

x = a

When k is 0, x/0 = a/0 which is undefined.

(iii) Considering x - k = a - k

x = a - k + k

x = a

(iv) Considering x + k = a + k

x = a + k - k

x = a

Therefore, x/k = a/k is not true.

✦ Try This: If x = b, then which of the following is not always true for an integer k.

(a) kx = bk

(b) x/k = b/k

(c) x - 2k = b + 2k

(d) x + 3k = b + 3k

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Sample Problem 1

If x = a, then which of the following is not always true for an integer k. (a) kx = ak, (b) x/k = a/k, (c) x - k = a - k, (d) x + k = a + k

Summary:

If x = a, then x/k = a/k is not always true for an integer k.

☛ Related Questions: