Question

The integer which lies between -1/4 and 3/2 are:

a)0 and 1 b)0 and -1 c)1 and -1 d)-1 and 2
Which option is right?

Answer 1

a) 0 and 1

Explanation:

the easiest way to think about this problem is using a number line to picture where the numbers are. I cant really do that easily on here but i will try my best to explain it with words.

If you think about where the numbers are on a number line you should see that -1/4 is slightly less than zero, which would put it to the left of zero.

Likewise, if you think about 3/2, which is equal to
`1(1)/(2)` it is slightly bigger than 1, which would put it to the right of 1 on a number line.

So if you think about the integers (which are numbers that can be positive or negative but do not involve decimals or fractions ex. -2, -1, 0, 1, 2 etc.) which are between those two numbers on the number line, the only integers are 0 and 1, which gives you your answer.

Answer 2

The correct answer is a) 0 and 1.

Explanation:

By converting the fractions into decimals, we can see that -1/4 is equivalent to -0.25 and 3/2 equals 1.5. Therefore, anything with a value outside of -0.25 < x < 1 should be marked out. So, anything containing anything less than -0.25 cannot be considered (i.e., -1) and anything above one cannot be considered (i.e., 2). Therefore, the only option left is a) 0 and 1.