Question

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$-2.8 \text { and } 0.5$$

Short answer

The numbers graphed on a number line would show '-2.8' to the left of '0.5'. The two inequalities comparing these numbers are \(-2.8 < 0.5\) and \(0.5 > -2.8\).

Step-by-step solution

Graph the Numbers on a Number Line

A number line is a visualization tool used to represent numbers and their order. Each point on the line corresponds to a number. Place '-2.8' to the left and '0.5' on the right because '-2.8' is less than '0.5'.

Compose the Inequalities

An inequality declares that one quantity is larger or smaller than another. There are two clear inequalities for these two numbers: \(-2.8 < 0.5\) since '-2.8' is less than '0.5'. Also, \(0.5 > -2.8\) as '0.5' is larger than '-2.8'.