ACT Math 5.3 Coordinate Geometry

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

ACT MathCoordinate Geometry
ACT MathematicsCoordinate Geometry
Coordinate GeometryGraphing inequalities
Real number lines and inequalities
Foreign LanguageArabic Subtitled
Chinese Subtitled
Korean Subtitled
Spanish Subtitled
LanguageEnglish Language
One-Variable Equations and InequalitiesGraphing on Number Line
Solving Inequalities
Product TypeACT 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.