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Question:

Graph the set $ (1,2) \cup [3,5] \times (1,2) \cup [3,5]$

My attempt:

enter image description here

I am new to graphing theses kinds of sets. I attempted to draw this one. I am not quite sure if I graphed it correctly. If I am wrong could someone please tell me my mistake?

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  • $\begingroup$ Seems perfect to me! $\endgroup$ – Sahiba Arora Jul 1 '17 at 23:03
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Your attempt is correct!

The first statement says that $x$ must lie in the range of $(1,2)$ OR $(3,5)$, which makes two vertical strips in the range of $y= ]-\infty, \infty[$.

The second statement says that $y$ must lie in the range of $(1,2)$ OR $(3,5)$, which similarly makes two horizontal strips from $-\infty$ to $\infty$ like before.

The $×$ sign is equivalent to the AND symbol, which shows the overlap between the horizontal and vertical rectangles.

Nice job!

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