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Real number lines and inequalities Videos 4 videos

Inequalities in Number Lines
3235 Views

ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?

ACT Math 1.2 Coordinate Geometry
252 Views

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

ACT Math 1.3 Coordinate Geometry
304 Views

ACT Math: Coordinate Geometry Drill 1, Problem 3. Solve the inequalities and choose the correct graph.

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ACT Math 1.2 Coordinate Geometry 252 Views


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Description:

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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English Language

Transcript

00:02

And here's your shmoop du jour...

00:04

Solve the inequality and determine which solution is shown on the number line

00:08

Y minus two times the quantity Y plus two is less than six

00:14

And here are your options...

00:17

Well anytime we see a number

00:19

right next to a parentheses think distributive property.

00:23

We can think of the -2 as a negative 2

00:27

so distributing we get negative two times Y

00:30

or -2y plus -2 times 2

00:33

or -4 so simplified we have y - 2y - 4 is less than six

00:39

we can combine like terms: y - 2y gives us negative y

00:45

add 4 to both sides and we get negative y is less than 10.

00:50

Now all we have to do is divide by both sides by -1

00:53

Remember that whenever we divide or multiply by negative one with

00:57

inequalities we have to flip the inequality

01:01

So we're left with y is greater than -10

01:04

The inequality is a greater than not a greater than

01:08

or equal to, so that clues us and that we need an

01:12

open dot which immediately eliminates A and B

01:15

We also know that are open dot has to be on -10

01:19

so we can eliminate D and E which leaves us with just C

01:23

and just make sure the arrow is pointing the right way we know that y has to be

01:27

greater than -10

01:29

The arrow points in the positive direction which is greater than -10

01:33

Looks like C is our answer.

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