tell what whole number you can substitute for x in each list so the numbers are ordered from least to greatest.

a. 2/x, x/22, 33%
b. 1/x, x/8, 33%

you need

2/x < x/22
44 < x^2
so,
6 < x

Now, you need x/22 < 0.33
x < 7.32

So, we have x = 7

2/7 < 7/22 < .33

Do the other in like wise.

x does not equal 7 because on list b 7/8 = 87.50% and therefore is greater than 33%

To figure out the whole number that can be substituted for x in each list so that the numbers are ordered from least to greatest, we need to evaluate each expression for different values of x.

a. For the first list: 2/x, x/22, 33%
- In the expression 2/x, as x increases, the value of the expression decreases because we are dividing a constant (2) by a larger number. So, we want to find a small value for x, preferably the smallest possible whole number.
- In the expression x/22, as x increases, the value of the expression increases. So, we want to find a larger value for x.
- The value 33% is a constant, so it doesn't depend on x.

To order the expressions from least to greatest, we need to start by substituting the smallest possible whole number for x and evaluate the expressions one by one.

Let's try substituting x = 1:
- 2/1 = 2
- 1/22 ≈ 0.045
- 33% = 0.33

So, when x = 1, the expressions become: 2, 0.045, 0.33.

Therefore, the order from least to greatest is: 0.045, 0.33, 2.

b. For the second list: 1/x, x/8, 33%
- In the expression 1/x, as x increases, the value of the expression decreases because we are dividing 1 by a larger number. Again, we want to find a small value for x.
- In the expression x/8, as x increases, the value of the expression increases. So, we want to find a larger value for x.
- The value 33% is a constant, so it doesn't depend on x.

Following the same process as before, let's substitute x = 1:
- 1/1 = 1
- 1/8 = 0.125
- 33% = 0.33

So, when x = 1, the expressions become: 1, 0.125, 0.33.

Therefore, the order from least to greatest is: 0.125, 0.33, 1.

In summary:
a. The order from least to greatest for the first list is: 0.045, 0.33, 2.
b. The order from least to greatest for the second list is: 0.125, 0.33, 1.