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ACT Math 5.3 Coordinate Geometry 435 Views


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Description:

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

Language:
English Language

Transcript

00:02

Here's another shmoop du jour...

00:05

Graph the inequality -4 ≤ -2x < 6.

00:10

And here are your potential answers...

00:14

As with all of these kinds of problems, there

00:17

are really two inequalities here...the first is: negative 4 is less than or equal to negative 2x.

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.

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