# TSI Math: Recognizing the Solution to an Inequality on a Number Line

Which of the following inequalities is represented by the solution set?

Elementary Algebra and Functions | Linear Equations, Inequalities, and Systems |

Mathematics and Statistics Assessment | Linear Equations, Inequalities, and Systems |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Elementary Algebra and Functions |

TSI Mathematics | Elementary Algebra and Functions |

Test Prep | TSI |

### Transcript

create a solution set that predicts how many more math

questions we have remaining for the year Here he comes

out of the open hole at x equals three Now

his shadow falls on all numbers greater than three The

ground hog has spoken All that remains is for us

to interpret his statement right We can't immediately eliminate the

first two inequalities simply because they have less than symbols

The inequality could flip during the solving process because the

coefficient of the variables negative in dividing by negative value

flips the direction of the duck mouth We like the

ground hog must dig our way out of this one

So we gotta solve for negative For x plus one

is less than negative thirteen first Well we're gonna plug

in chuck here when dividing by negative for flip the

inequality and we get negative for x plus one is

less than negative thirteen and then we're going to subtract

one from both sides Got negative for exes last night

and they could afford eighteen but then we're going to

flip the duck mouth here because we're gonna divide both

sides by yet negative for their so that'll get us

fourteen over and floor in that same as fourteen over

for And no this is not what depression rodent meant

All right let's just solve the second equation before except

this one's lesson thirteen Well let's see we've got to

add one to both sides So we get teo negative

four axes less than fourteen and we're gonna divide both

sides by negative for and that's flipping the duck mouth

there So we get x is greater than negative Fourteen

over four Well that's not right bill solution set toe

negative for x minus ones Lesson thirteen doesn't match the

ground hogs prediction either but it's similar enough to axe

is greater than fourteen over four that were beginning to

worry We've stumbled on a glitch in the space time

continuum Alright so quick Avoid repetition by deploying logic The

inequality for x minus one is greater than thirteen Must

have the same solution as negative for x plus one

is less than negative thirteen there like a because all

the terms have opposite signs and the inequality faces the

opposite direction We'll just get rid of sea without plugging

and or chugging The last inequality is for x plus

one is greater than thirteen must be the one that

models the ground hogs prediction here right Otherwise the world

is just too uncertain and on a good place to

live your day again and again again alright for x

plus ones great in thirteen so we tracked one from

both sides for x is greater than twelve And if

we divide both sides by four and since it's positive

number we don't have flipped the duck mouth so it

just gets your axes creator than three What do you

know The fur ball came through We have for x

plus ones great in thirteen and math problems to complete

this year The good news is we've already done three 00:02:53.22 --> [endTime] of them who