How many positive integers are between 3/2 and 21/4 ?
a : 2
b : 3
c : 4
d : 5

4 integers

Step-by-step explanation:

We are given with two fractions

3/2 = 1.5  and 21/4 = 5.25

Let us draw a number line first and then we plot these two numbers on them.

Please refer to the picture attached. Here we see the number line in black line , where the integers are starting with 0. We have plotted the numbers 1.5  and 5.25  in red.

We are asked to determine the number of integers that lies between 1.5 and 5.25.

The definition of integer says , the whole numbers which be negative also including 0.

Hence we can see that there are 4 whole numbers between 1.5 and 5.25 ,

2,3,4,5

Hence our answer is 4 integer