Question

If $a+b>7$ and $a-b>5$, then which of the following gives all possible values of $a$ and only possible value of $a$?

• A. $a>6$
• B. $a<5$
• C. $a>4$
• D. $a<7$

Answer 1

The correct option is A $a>6$

Since both inequalitites have the same direction, therefore the corresponding sides can be added. Thus
$a+b>7$
$a-b>5$
------------------
$2a>12$
$a>6$