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ACT Mathematics Videos 164 videos
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
ACT Math: Pre-Algebra Drill 1.2. What proportion of Jenna's day is spent Wii-swimming?
ACT Math 5.2 Elementary Algebra 273 Views
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Description:
ACT Math: Pre-Algebra Drill 1, Problem 5. Solve for x.
Transcript
- 00:02
Here's your shmoop du jour: Lets just get to it.
- 00:05
Solve for x: -2 is less than or equal to
- 00:08
3x plus 1, which is less than 2.
- 00:11
And here are the potential answers...
- 00:16
Okay. It just wants to make sure we remember that whenever we multiply by a negative number
Full Transcript
- 00:20
in these types of problems...
- 00:21
...we have to flip around the "greater than/ less than" Pac Man thingies.
- 00:25
First, let's just break this puppy into pieces.
- 00:28
We start with negative 2 is less than or equal to 3x plus 1.
- 00:33
Subtract 1 from both sides to get negative 3 is less than or equal to 3x.
- 00:38
Divide both sides by 3 and we have -1 is less than or equal to x.
- 00:42
Great; that lets us cross off a few answers from the potentials sheet.
- 00:48
Now for the next part. We have 3x plus 1 is less than 2.
- 00:52
Subtract 1 from both sides and we have 3x is less than 1.
- 00:56
Divide both sides by 3 to get x is less than 1 third.
- 00:59
And our answer is E.
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