Question
Question: The set \(A = \left\{ x : x \in R , x ^ { 2 } = 16 \right.\) and \(2 x = 6 \}\) equals...
The set A={x:x∈R,x2=16 and 2x=6} equals
A
ϕ
B
[14, 3, 4]
C
[3]
D
[4]
Answer
ϕ
Explanation
Solution
x=±4
x=3
There is no value of x which satisfies both the above equations. Thus, A=ϕ.