Question

Solve the compound inequality
2x-1/10≤-7 or 2x-1/10≥4

Answer 1

in equalities are best solved with graphing so you can see the area of the solutions

Answer 2

2x-1 2x-1
----- = -7 or ------ = 4
10 10

graph these two curves as boundaries

Answer 3

but I don't know how to solve it.

Answer 4

I don't have to graph them for this problem only solve.

Answer 5

is that (1/10) or is the 10 under it all like a denom?

Answer 6

10 under like a denom

Answer 7

it still shows up the same on wolfram

Answer 8

(2x-1)/10≤-7 or (2x-1)/10≥4

Answer 9

and I assumed it was a y in there someplce; but this is really just on the number line right :)

Answer 10

i saw the graph but i don't understand what I am looking for.

Answer 11

there is no Y and I don't have to graph anything I just have to solve the compound inequality.

Answer 12

\[\frac{2x-1}{10} \le -7\]
\[2x-1 \le -70\]
\[2x \le -69\]
\[x \le \frac{-69}{2}\]

--------------------
\[\frac{2x-1}{10} \ge 4\]
\[2x-1 \ge 40\]
\[2x \ge 41\]
\[x \ge \frac{41}{2}\]

~~~~~~* *~~~~~~
________|_______|________
-69/2 41/2
x is an element of (-inf,-69/2]U[41/2,inf)

Answer 13

Thank you!

Answer 14

\begin{array}
\frac{2x-1}{10}≤-7&&\frac{2x-1}{10}≥4&; *10\\
&&\\
2x-1 \le-70&&2x-1\ge40&;+1\\
&&\\
2x\le-69&&2x\ge41&;/2\\
&&\\
x\le\frac{-69}{2}&&x\ge\frac{41}{2}
\end{array}
\begin{align}
(<------69/2]........[41/2 ------>)
\end{align}

Answer 15

lol .... all that work and I typoed the first line

Answer 16

it's ok. thank you for your help!

Answer 17

do you think you can help me with a work problem I have been struggling with?

Answer 18

youre welcome :)

the answer should appear in your matterial as:

\[\left(-\infty,-\frac{69}{2}\right]\ U\ \left[\frac{41}{2},\infty\right)\]

Answer 19

sure can maybe

Answer 20

I Think it boggles a lot of people because I have been trying to get help on it for days!

Answer 21

im used to being confused, so let me see it :)

Answer 22

Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $80 of her medical bills plus 40% of the balance. Plan B Giselle would pay first $210 but only 30% of the remaining balance. For what amount of medical bills will plan B save Giselle Money? Assume she has over $210 in bills

Answer 23

this ones been around here before...

its tricky if you over look some facts

Answer 24

yea that's because I have been posting it and I can't get anyone to help me! lol

Answer 25

plan A:

Cost = 80+(Bill-$80)(.40)

Plan B:

Cost = 120+(Bill-$210)(.30)

Do you see why its tricky ?

Answer 26

the 120 sposed to be 210 lol

Answer 27

ahhh

Answer 28

the equations read:

Cost to G = 80 plus whatevers left if the bill times 40 percent

Answer 29

right

Answer 30

lets clean these up some:

plan A = 80+Bill(.4)-80(.4)
= Bill(.4) +48

Plan B = 210+Bill(.3)-210(.3)
= Bill(.3) + 147

when these 2 plans match, they flip over each other :)

Answer 31

Bill(.3) + 147 = Bill(.4) + 48

147 - 48 = Bill(.4) - Bill(.3)

99 = Bill(.1)

99/.1 = Bill = 990 ; iff I did it righrt

Answer 32

http://www.wolframalpha.com/input/?i=y%3Dx%28.4%29%2B48+and+y%3Dx%28.3%29%2B147

this shows where they cross at and says that x = 990 as well

Answer 33

at a bill of 990; the cost of each plan to G is abt 444

Answer 34

so with plan B that is the amount of money she will save .

Answer 35

just checked and that is right....THANK YOU!!!!! You deserve a few more medals. I owe you some! I have been trying that one for days!!!! I am so releaved!