Question

Which of the sets are equal? X={x : x-4=0 and x is a natural number}, Y={ x : x²=16 and x is a natural number}, Z={x : x>4 and x<16, x is a natural number} *

a) X and Y
b) Y and Z
c) X and Z
d) X, Y and Z

Answer 1

Given ; X={x : x-4=0 and x is a natural number}, Y={ x : x²=16 and x is a natural number}, Z={x : x>4 and x<16, x is a natural number}

To Find; Which  of the following sets are equal

Solution ; X={x : x-4=0 and x is a natural number}, Y={ x : x²=16 and x is a natural number}, Z={x : x>4 and x<16, x is a natural number} are given

X={x : x-4=0 and x is a natural number},

Writing in roaster form

X = { 4 }

Y={ x : x²=16 and x is a natural number}

Y = { 4}

Z={x : x>4 and x<16, x is a natural number}

Z = { 5 ,6 , 7 , 8, 9, 10 , 11 ,12 , 13 , 14 ,15 }

Hence X = Y, So option a is correct