Question

$\text{If}A=\{x:x\in R,x^2=16\text{and}2x=6\},$ then A = ___.

• A. {∅}
• B. ∅
• C. {3}
• D. {-4, 3, 4}

Answer 1

The correct option is B

∅

$x^2=16\Rightarrow x=\pm 4$

$2x=6\Rightarrow x=3$

There is no value of $x$ which satisfies both of the above equations.

Thus, A = ∅ or { }.