Question

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. 4 and \(-3\)

Short answer

The two inequalities that compare -3 and +4 are '-3 < +4' and '+4 > -3'.

Step-by-step solution

Set Up the Number Line

Create a number line. Number lines usually start from '-10' and end at '+10', this ensures that the values in question, -3 and +4, will be covered. Mark each point on the number line.

Graph the Numbers on the Number Line

Place '-3' three steps to the left of '0' and '+4' four steps to the right of '0' on the number line.

Write Inequalities

According to the positions of '-3' and '+4' on the number line, '-3' is less than '+4' hence the inequality '-3 < +4'. And if compared the other way, '+4' is greater than '-3' resulting in the inequality '+4 > -3'.