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:
Answer & explanation
Correct answer: option 4
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).