If A={x∈R:|x−2|>1},B={x∈R:√x2−3>1}, C={x∈R:|x−4|≥2} and Z is the set of all integers, then the number of subsets of the set (A∩B∩C)c∩Z is

If A={x∈R:|x−2|>1},B={x∈R:√x2−3>1}, C={x∈R:|x−4|≥2} an

1.	If A={x∈R:\|x−2\|>1},B={x∈R:√x2−3>1}, C={x∈R:\|x−4\|≥2} and Z is the set of all integers, then the number of subsets of the set (A∩B∩C)c∩Z is
Answer» If $A = {x \in R : \| x - 2 \| > 1}, B = {x \in R : \sqrt{x^{2} - 3} > 1},$ $C = {x \in R : \| x - 4 \| \geq 2}$ and $Z$ is the set of all integers, then the number of subsets of the set $(A \cap B \cap C)^{c} \cap Z$ is