# ACT Math 5.3 Coordinate Geometry

ACT Math: Coordinate Geometry Drill 5, Problem 3. Graph the inequality.

 ACT Math Coordinate Geometry ACT Mathematics Coordinate Geometry Coordinate Geometry Graphing inequalitiesReal number lines and inequalities Foreign Language Arabic SubtitledChinese SubtitledKorean SubtitledSpanish Subtitled Language English Language One-Variable Equations and Inequalities Graphing on Number LineSolving Inequalities Product Type ACT Math

### Transcript

00:23

To isolate x we need to divide both sides by negative 2...

00:23

To isolate x we need to divide both sides by negative 2 and… a red light should be

00:27

Whenever we divide or multiply an inequality by a negative, we have to flip the sideways

00:31

ice cream cone once

00:32

around...x is less than or equal to 2.

00:35

Well, we have a starting point.

00:37

On our number line we mark the 2... and since it's less than OR equal to, it means that

00:43

the dot has to be filled in...

00:46

So B and C don't work... and neither does A, which starts at 3 rather than 2.

00:50

We know that x is LESS than 2, meaning that it's gonna live somewhere

00:54

over here...

00:55

The only one left that might work is D... but just to be sure let's check out the 2nd

00:59

part of the equation.

01:00

We have negative 2x is less than 6... Divide both sides by negative 2, flip around

01:06

the sideways ice cream cone thingy...

01:09

...and we have x is greater than negative 3.

01:11

So yep, the answer is indeed D.