Question

video: introduction to linear inequality
graph the inequality below and then give interval notation. (in order to show infinity on a graph, you must scroll all the way until you see an arrow. dont forget the \solid dot\ or \open circle\)
$x < - 2$ or $x > 1$
interval notation for the above inequality is (left to right): and

Explanation:

Step1: Analyze the inequality \(x < - 2\)

For \(x < - 2\), we use an open circle at \(x=-2\) (since the inequality is strict, \(x
eq - 2\)) and draw an arrow to the left. In interval notation, this part is \((-\infty,-2)\)

Step2: Analyze the inequality \(x>1\)

For \(x > 1\), we use an open circle at \(x = 1\) (since the inequality is strict, \(x
eq1\)) and draw an arrow to the right. In interval notation, this part is \((1,\infty)\)

Answer:

The interval notation is \((-\infty,-2)\) and \((1,\infty)\)