Question

• A. All real numbers

• B. All real numbers except 2
• C. All real numbers except -6
• D. All real numbers except -6 and 2

Answer 1

A. All real numbers

Explanation:

Given

• (x - 2)(x + 6)/7(x + 6) = (x - 2)/7

On cross multiplying,

• (x - 2)(x + 6)(7) = (x - 2)(x + 6)(7)
• LHS = RHS
• This means on applying any value for x, both sides will be equal
• Hence, the correct option is A

Answer 2

Option C

Explanation:

you cancel the whole parentheses.

So you know, x+6 can't equal to 0.

that's why there is a choice that is all real numbers but not -6.