Question

Set X consists of all integers that are prime numbers. Set Y consists of all 2-digit positive integers that are less than 70 and have a units digit of 7.

How many integers are members of both set X and set Y ?

Answer 1

Answer:

3 integers

Step-by-step explanation:

The first 25 prime numbers which happened to less than 100 are

X = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}

The set of all numbers with 2 digits less than 70 but have digits of 7 are.

Y = {17, 27, 37, 47, 57, 67}

the intersection of these sets = { 17, 37, 47}

hence a total of 3 numbers fit the above condition.