Question

Which inequalities are true? Check all that apply

1. 0/8 < 3
2. 0/8 > -7
3. 0/8 < 2
4. 0/8 > 8
5. 1/8 < 1

Answer 1

The true inequalities given are 1, 2, 3, and 5, which state that 0 is less than 3 and 2, 0 is more than -7, and 1/8 is less than 1. 0/8 (which equals 0) cannot be greater than 8, making statement 4 false.

Step-by-step explanation:

To determine which inequalities are true, we must evaluate each one individually. Any number divided by itself is 0, so 0/8 equals 0. Let's go through the options given:

0/8 < 3 is true because 0 is less than 3.

0/8 > -7 is true because 0 is greater than any negative number.

0/8 < 2 is true because 0 is less than 2.

0/8 > 8 is false because 0 is not greater than 8.

1/8 < 1 is true because 1/8 represents a fraction of 1, which is less than 1 itself.

From these evaluations, we can see that the true inequalities from the given options are 1, 2, 3, and 5.