Question

linear equations and inequalities
set - builder and interval notation
try again
your answer is incorrect.

• number line: your answer is incorrect.
• interval notation: your answer is incorrect.

graph the set \\{x \mid - 1 < x < 2\\} on the number line.
then, write the set using interval notation.
\\{x \mid - 1 < x < 2\\} = \square

Explanation:

Step1: Analyze the inequality

The set is \(\{x \mid -1 < x < 2\}\). For the number line graph, we use open circles at \(-1\) and \(2\) (since the inequality is strict, \(x\) is not equal to \(-1\) or \(2\)) and shade the region between them.

Step2: Determine interval notation

In interval notation, a strict inequality \(a < x < b\) is represented as \((a, b)\). Here, \(a = -1\) and \(b = 2\), so the interval notation is \((-1, 2)\).

Answer:

The graph should have open circles at \(-1\) and \(2\) on the number line with the region between them shaded. The interval notation is \((-1, 2)\).