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ACT Math: Coordinate Geometry Drill 1, Problem 2. Solve the inequality and determine which solution is shown on the number line.

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ACT Math 2.1 Coordinate Geometry 246 Views


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Description:

ACT Math: Coordinate Geometry Drill 2, Problem 1. The number line shows which expression?

Language:
English Language

Transcript

00:02

Here's your shmoop du jour...

00:04

The number line shows which expression? And here are your potential answers...

00:10

OK, so we note 2 very important things right off the bat - there are open circles,

00:14

at the points negative 2 and positive 4.

00:17

Those open circles mean that the line can be greater

00:20

than or less than but not equal to...

00:23

So right away we can see that A and C are going to be raccoon food.

00:28

Let's brute force the rest... we'll take a look at E and work our way up.

00:32

Here, x is GREATER than negative 4... but already we're in foul territory because the

00:36

line here doesn't connect or tie in with negative 4 at all...

00:39

...it just crosses over it... so we can quickly toss E. On to D.

00:44

Here x is bigger than negative 2... which also doesn't work.

00:47

The line shown is LOWER or more negative than negative 2, not bigger. So we can toss D.

00:54

Last chance is B... which ... works!

00:57

X is smaller or more negative than negative 2 and not equal to it here - check;

01:02

...and x is greater than but not equal to positive 4 here - check.

01:07

B is our answer. Done.

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