In this question we ask,
which of the following properly expresses the precedence of
operators using parentheses of the following expression?
Here we have this expression.
So, I know that and is going to be the lowest precedence operator.
So, this thing on the left is going to be evaluated,
and then this thing on the right is going to be evaluated.
So, now the question is, within these expressions,
what gets evaluated first?
So, multiplication has a higher precedence than comparison,
so this is going to be evaluated first.
So, I should know that there are parentheses around 5 times 3,
and then we compare that to 10,
5 times 3 is greater than 10.
Then, we can add parentheses around this whole thing.
Now, on the left-hand side,
addition has a higher precedence than this comparison,
so I should say 4 plus 6 is in parentheses and then we compare that with 11,
and this overall expression is in parentheses.
So, our result should look like this,
and we can see that that's in A.
So, let's see this example step-by-step the way that Python would evaluate it.
So, here we have the exact same expression,
5 times 3 greater than 10,
and 4 plus 6 equals 11.
So, Python sees this overall expression,
and the first thing that it evaluates is 5 times 3 and it gets 15.
Then, it's going to check is 15 greater than 10,
that gets true, and then it's going to check the value of 4 plus 6 so it gets 10,
and then it's going to ask is 10 equal to 11,
and that's going to be false,
and then it's going to take the value of true and false, and get false.
So, that's how Python evaluates and breaks down this complex expression.