Algebra 2 Number Lines

Question

Today in math the homework assignment consisted of different set types with number lines. The problem in question regards the following problem.

(-∞, 2) or [-1.75, 1.75] or (2, ∞)

We were asked to draw a number line from that info. My question is, on the number line, do we add in closed dots at -1.75 and 1.75? They are already contained within the other 2 sets. Thanks!

Answer 1

No. The three sets encompass the ENTIRE Real-Number System. You are correct that the interval [-1.75,1.75] is contained within the other 2 intervals.