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TSI Math: Recognizing the Solution to an Inequality on a Number Line 20 Views
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Description:
Which of the following inequalities is represented by the solution set?
- TSI Math / Elementary Algebra and Functions
- Test Prep / TSI
- Elementary Algebra and Functions / Linear Equations, Inequalities, and Systems
- TSI Mathematics / Elementary Algebra and Functions
- TSI / TSI Math
- Elementary Algebra and Functions / Linear Equations, Inequalities, and Systems
- TSI / TSI Mathematics
- Test Prep / TSI
Transcript
- 00:03
All right sy Maths members Here we go Next up
- 00:05
Which of the following inequalities is represented by the solution
- 00:10
set All right so we've got three right there and
- 00:16
then everything greater than three Well each february we wait
- 00:20
for the ground hog pop out of his graph and
Full Transcript
- 00:23
create a solution set that predicts how many more math
- 00:25
questions we have remaining for the year Here he comes
- 00:28
out of the open hole at x equals three Now
- 00:31
his shadow falls on all numbers greater than three The
- 00:35
ground hog has spoken All that remains is for us
- 00:37
to interpret his statement right We can't immediately eliminate the
- 00:40
first two inequalities simply because they have less than symbols
- 00:43
The inequality could flip during the solving process because the
- 00:47
coefficient of the variables negative in dividing by negative value
- 00:50
flips the direction of the duck mouth We like the
- 00:52
ground hog must dig our way out of this one
- 00:55
So we gotta solve for negative For x plus one
- 00:57
is less than negative thirteen first Well we're gonna plug
- 01:01
in chuck here when dividing by negative for flip the
- 01:03
inequality and we get negative for x plus one is
- 01:06
less than negative thirteen and then we're going to subtract
- 01:09
one from both sides Got negative for exes last night
- 01:11
and they could afford eighteen but then we're going to
- 01:13
flip the duck mouth here because we're gonna divide both
- 01:15
sides by yet negative for their so that'll get us
- 01:18
fourteen over and floor in that same as fourteen over
- 01:22
for And no this is not what depression rodent meant
- 01:25
All right let's just solve the second equation before except
- 01:27
this one's lesson thirteen Well let's see we've got to
- 01:30
add one to both sides So we get teo negative
- 01:33
four axes less than fourteen and we're gonna divide both
- 01:36
sides by negative for and that's flipping the duck mouth
- 01:38
there So we get x is greater than negative Fourteen
- 01:42
over four Well that's not right bill solution set toe
- 01:45
negative for x minus ones Lesson thirteen doesn't match the
- 01:48
ground hogs prediction either but it's similar enough to axe
- 01:51
is greater than fourteen over four that were beginning to
- 01:54
worry We've stumbled on a glitch in the space time
- 01:57
continuum Alright so quick Avoid repetition by deploying logic The
- 02:00
inequality for x minus one is greater than thirteen Must
- 02:03
have the same solution as negative for x plus one
- 02:07
is less than negative thirteen there like a because all
- 02:09
the terms have opposite signs and the inequality faces the
- 02:13
opposite direction We'll just get rid of sea without plugging
- 02:16
and or chugging The last inequality is for x plus
- 02:19
one is greater than thirteen must be the one that
- 02:22
models the ground hogs prediction here right Otherwise the world
- 02:26
is just too uncertain and on a good place to
- 02:29
live your day again and again again alright for x
- 02:31
plus ones great in thirteen so we tracked one from
- 02:34
both sides for x is greater than twelve And if
- 02:37
we divide both sides by four and since it's positive
- 02:39
number we don't have flipped the duck mouth so it
- 02:41
just gets your axes creator than three What do you
- 02:44
know The fur ball came through We have for x
- 02:47
plus ones great in thirteen and math problems to complete
- 02:50
this year The good news is we've already done three 00:02:53.22 --> [endTime] of them who
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