Check whether the following sets is empty or non-empty. Also write the

1.	Check whether the following sets is empty or non-empty. Also write thecardinality of each set.C = {x : x ∈ Z and 4x^2− 1 = 0}
Answer» ANSWER: ${4x}^{2} - 1 = 0 \\ (2x - 1)(2x + 1) = 0 \\ x = \frac{1}{2} \: or \: x = - \frac{1}{2} \\ so \: set \: c \: is \: empty \: set$

Check whether the following sets is empty or non-empty. Also write thecardinality of each set.C = {x : x ∈ Z and 4x^2− 1 = 0}

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${4x}^{2} - 1 = 0 \\ (2x - 1)(2x + 1) = 0 \\ x = \frac{1}{2} \: or \: x = - \frac{1}{2} \\ so \: set \: c \: is \: empty \: set$

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Check whether the following sets is empty or non-empty. Also write thecardinality of each set.C = {x : x ∈ Z and 4x^2− 1 = 0}​

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Check whether the following sets is empty or non-empty. Also write thecardinality of each set.C = {x : x ∈ Z and 4x^2− 1 = 0}