I RECOMMEND MATHYWAY APP FOR SOLVING
The difference set
is the set of all elements that belongs to A, but not to B. These elements are
![A\setminus B = \{2,\ 6,\ 9\}](https://tex.z-dn.net/?f=A%5Csetminus%20B%20%3D%20%5C%7B2%2C%5C%206%2C%5C%209%5C%7D)
The complementary set is to be considered with respect to the universe set U, so we have to consider all the elements of the universe that are not in our set:
![(A\setminus B)' = \{1,\ 3,\ 4,\ 5,\ 7,\ 8,\ 10\}](https://tex.z-dn.net/?f=%28A%5Csetminus%20B%29%27%20%3D%20%5C%7B1%2C%5C%203%2C%5C%204%2C%5C%205%2C%5C%207%2C%5C%208%2C%5C%2010%5C%7D)
We have a
number line as indicated in the figure above. From this figure we know that the <em>x-values</em> <em>increase f</em><em>rom left to right</em>. So we need to write the solution<span> that matches the previous graph. Taking a look on the graph we see that
![x](https://tex.z-dn.net/?f=x)
begins in -3 and closes in 8, that is,
![x](https://tex.z-dn.net/?f=x)
<em>takes values from -3 to 8</em>. In a mathematical language this is given by
the following statement:
</span>
![x \in [-3,8]](https://tex.z-dn.net/?f=x%20%5Cin%20%5B-3%2C8%5D)
<span>
</span>
Answer:
The mistake is he said"The equation has infinitely many solutions."
But based on what he was solving for, this equation does not have any solutions, so that's his mistake.
Answer:
I'm not sure if you're looking for an approximation or the exact amount, so I'll give you both. The drama club would need exactly 9.375 lbs of chocolate for the 75 orders, or 6.375 more lbs. If we round that up to the nearest pound, the club would need 10 lbs of chocolate to cover the 75 orders, with some left over. So, they would need 7 lbs more.