Question

Write out the following sets as lists: i. {ne Z:n is even} ii. {n^2:n € N} iii. {x E Z:IxI <4} iv. {xE Z : x^2 - 1 = 0} v. {x E Q : x^2 - 2 = 0} vi. {xE R : x^2 - 2 = 0}

Answer 1

i. {n E Z: n is even} can be written as: {..., -4, -2, 0, 2, 4, ...}

ii. {n^2: n E N} can be written as: {0, 1, 4, 9, 16, 25, ...}

iii. < 4 can be written as: {-3, -2, -1, 0, 1, 2, 3}

iv. {x E Z: x^2 - 1 = 0} can be written as: {-1, 1}

v. {x E Q: x^2 - 2 = 0} can be written as: {-√2, √2}

vi. {x E R: x^2 - 2 = 0} can be written as: {-√2, √2}