1
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In this question we ask,

2
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which of the following properly expresses the precedence of

3
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operators using parentheses of the following expression?

4
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Here we have this expression.

5
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So, I know that and is going to be the lowest precedence operator.

6
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So, this thing on the left is going to be evaluated,

7
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and then this thing on the right is going to be evaluated.

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So, now the question is, within these expressions,

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what gets evaluated first?

10
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So, multiplication has a higher precedence than comparison,

11
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so this is going to be evaluated first.

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So, I should know that there are parentheses around 5 times 3,

13
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and then we compare that to 10,

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5 times 3 is greater than 10.

15
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Then, we can add parentheses around this whole thing.

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Now, on the left-hand side,

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addition has a higher precedence than this comparison,

18
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so I should say 4 plus 6 is in parentheses and then we compare that with 11,

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and this overall expression is in parentheses.

20
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So, our result should look like this,

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and we can see that that's in A.

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So, let's see this example step-by-step the way that Python would evaluate it.

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So, here we have the exact same expression,

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5 times 3 greater than 10,

25
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and 4 plus 6 equals 11.

26
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So, Python sees this overall expression,

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and the first thing that it evaluates is 5 times 3 and it gets 15.

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Then, it's going to check is 15 greater than 10,

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that gets true, and then it's going to check the value of 4 plus 6 so it gets 10,

30
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and then it's going to ask is 10 equal to 11,

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and that's going to be false,

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and then it's going to take the value of true and false, and get false.

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So, that's how Python evaluates and breaks down this complex expression.