Question

I am struggling a little bit with these problems because I'm not to sure how to solve them, if you could help me that be greatly appreciated thank you.
2x + 1 >= 5 or -3x > -9

Part 1: Solve the inequality above.
Part 2: Describe the graph of the solution.

-7y - 17 > 11

Part 1: Solve the inequality above.
Part 2: Describe the graph of the solution.

Answer 1

\[2x+1≥5,\qquad\text{or}\qquad -3x>-9\]

looking at the first inequality,

take one from both sides,

then divided both sides by 2, to isolate \(x\)

Answer 2

for the second inequality

\[-3x>-9\]

divide both sides by negative three,

note, that because we are dividing by a negative number, you must Reverse the direction of the inequality

Answer 3

tell me what you get when you have simplified these inequalities,

Answer 4

for the first one 2 cant divide into 5 though.
im sorry im horrible at math.

Answer 5

take one from both sides Before dividing by 2

Answer 6

okay so for the first one I did 2x+1>= 5
subtracted 1 from 1 and 5
that left me with 2x>= 4
and by dividing it by two i got 2x
is that right?

Answer 7

2x≥4 is correct ,

Answer 8

okay and for the second one you said divide by negative 3 and i have to switch the direction of the inequality so it would be
-3x<-9
and i would divide both by -3 so I would end up with -6x<-12?
thank you so much for actually helping me I dont really have people to explain to me in my family

Answer 9

but we havent finished 2x≥4

divide both sides by two , like this

2x/2≥4/2

simplify...

Answer 10

x≥ ...?

Answer 11

I would just be left with 2 because 2 divides into 4 and that gives me two and two cant go into 2 because it would end up with 0 right? so final answer is 2x

Answer 12

2x/2= 1x = x

Answer 13

2 divided by 2 is one

Answer 14

I'm sorry I'm not explaining enough I was thinking how you showed it 1x would just be x so x just stays there. Not that two and two is zero. but the final answer would be 2x right? because 2 divided into 4 is two and im left with x so 2x

Answer 15

the final answer should be

x≥2

Answer 16

does that make some sense?

Answer 17

yes it does thank you, for the second problem did I do that right or did i mess up as well?

Answer 18

Now the second inequality

−3x>−9

dividing by -3

−3x/-3<−9/-3

simplify this

Answer 19

I would end up with -6x<-12

Answer 20

your adding the numbers when you should be dividing them ...

Answer 21

since its negative they add up .. im using my calculator and thats the answer it is giving me

Answer 22

that is not how division works

to divide negative three , by negative three

press these buttons

\[[-][3][\div][-][3][=]\]

Answer 23

and you should get 1

Answer 24

to divide negative nine , by negative three

press these buttons

[−][9][÷][−][3][=]

what do you get when you do this?

Answer 25

Okay im sorry i was pressing the wrong button my calculator didnt have the same signs
I got 1 and 3

Answer 26

thats better

Answer 27

So since the 1 is pretty much x that leaves me with just 3

Answer 28

right so what is the solution for the second inequality ?

Answer 29

and it would be like the last problem so I would have the answer x<3

Answer 30

gooood

Answer 31

so we have

x≥2 or x<3

can you graph this on a number line?

Answer 32

It would be starting on the 2 and it would go towards the right because its greater than so more than two.. right?

Answer 33

yeah