Question

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$-2.4 \text { and } 3.2$$

Short answer

The numbers \( -2.4 \) and \( 3.2 \) on a number line visually represent that -2.4 is less than 3.2. Therefore, the two inequalities comparing these numbers are \( -2.4 < 3.2 \) and \( 3.2 > -2.4 \)

Step-by-step solution

Represent the Numbers on a Number line

Draw a number line with markings from -3 to 4, considering that the numbers to be plotted are -2.4 and 3.2. Represent -2.4 and 3.2 on the number line. Clearly, -2.4 will be to the left of 3.2.

Writing the Inequalities

-2.4 is less than 3.2. Therefore, one possible inequality is \( -2.4 < 3.2 \). The other inequality happens to be the other way round; having 3.2 be greater than -2.4. Hence \( 3.2 > -2.4 \) is the other inequality.