Question

1. for set of numbers shown on the number lines below, represent the set using interval notation. (use your class notes for help if you need it!) (a) (b)

Explanation:

Step1: Analyze part (a)

For the number line in part (a), there are closed - circles at \(x=-5\) and \(x = 5\). The interval notation for a set of numbers from \(a\) to \(b\) (where \(a\leqslant x\leqslant b\)) is \([a,b]\). Here \(a=-5\) and \(b = 5\).

Step2: Analyze part (b)

For the number line in part (b), there are open - circles at \(x=-2\) (approximate position, assume the left open - circle is at \(x=-2\)) and \(x = 12\) (approximate position). The interval notation for a set of numbers from \(a\) to \(b\) (where \(a\lt x\lt b\)) is \((a,b)\). Here \(a=-2\) and \(b = 12\) (assuming the correct endpoints from the number - line markings).

Answer:

(a) \([-5,5]\)
(b) \((-2,12)\) (assuming the left open - circle is at \(x=-2\) and the right open - circle is at \(x = 12\) based on standard number - line spacing interpretations)