Write one inequality statement to show the relationship among the following shoe sizes: 10 1/2, 8, and 9.
a. from least to greatest:
b. from greatest to least:

a) 8 < 9 < 10 1/2

b) 10 1/2 > 9 > 8

Step-by-step explanation:

We can use inequalities to order shoe sizes. We need to know what the symbols mean, for example < means "is lower than" while > means "is greater than". We know that 8 is lower than 9, and 9 is lower than 10 1/2 (which can be written also as 10.5), so we can write:

a) 8 < 9 < 10 1/2

The other way around would be to say that 10 1/2 is greater than 9, and 9 is greater than 8, which means:

b) 10 1/2 > 9 > 8