If $a> b$ and $c <0$, then which of the following is NOT correct?

(A) $ac <bc$
(B) $a+c <b+c$
(C) $a-c <b-c$
(D) $ac > bc$

Choose the correct answer from the options given below:

(B), (C) and (D) only

The correct answer is Option (4) → (B), (C) and (D) only

$a>b$

$c<0$

Multiply both sides by $c$

$ac<bc$

(A) is correct

Add $c$ to both sides

$a+c>b+c$

(B) says $a+c<b+c$ which is false

Subtract $c$ from both sides

$a-c>b-c$

(C) says $a-c<b-c$ which is false

(D) says $ac>bc$ but actual result is $ac<bc$

(D) is false

The NOT correct options are (B), (C) and (D).