Question

question 7 (2 points)
use a number line to represent the inequality. be very clear with open/closed circles,
and where lines and arrows are added.
you can hand - write and insert a picture, or use a clear point form description.
$$ { x | 1 < x < 8 , x in mathbb { r } } $$

Explanation:

Step1: Draw the number line

Draw a straight horizontal line.

Step2: Mark the points

Mark the points \(1\) and \(8\) on the number line.

Step3: Represent the inequality

Since \(1 < x\), we use an open circle at \(x = 1\) (because \(x\) is not equal to \(1\)). Since \(x<8\), we use an open circle at \(x = 8\) (because \(x\) is not equal to \(8\)). Then we draw a line segment connecting these two open - circles.

Answer:

On the number line, there is an open circle at \(1\), an open circle at \(8\), and a line segment connecting them.