Question

which point, (5,-1) or (5,-5), is a greater distance from the x-axis? Prove your answer using a statement of inequality?

Answer 1

(5, -5) ; Inequality would be |-5| > |-1|

Explanation:

The point (5,-5) is at a larger vertical distance than the point (5,-1)

An inequality you can use to prove this would be the following!...

`|-5| > |-1|`

What this reads, is 'the absolute value of -5 is greater than the absolute value of -1. Since we know distance cannot be negative, we can find the absolute value of a number to show the actual distance!