Question

Question #8a781

Answer 1

Explanation:

Part (a) is asking you to draw all natural numbers (that is what the `N` means) that are between `-3 and 4` that does not include exactly `-3`.

Natural numbers are all integers greater than zero: `1, 2, 3, 4...`

Thus the only natural numbers that are between `-3 and 4` that does not include exactly `-3` are: `1, 2, 3, and 4`.

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Part (b) is asking you to draw all real numbers (that is what the `R` means) that are between `-3 and 4` that does not include exactly `-3`.

Real numbers are all rational and irrational numbers that exist on the number line. There are infinitely many real numbers, so instead of drawing infinitely many individual points, the best way to represent these numbers is with a solid line.

Thus we have a straight line covering the numbers from `-3 and 4` with an open dot at `-3` since the restraints do not include this number.