Question

Help..

Answer 1

\[2x-1\le3x-5\le x+9\]

Answer 2

@johnweldon1993

Answer 3

Alright so your overall goal here...is to solve for 'x'

\[\large 2x - 1 \le \color \red{3x - 5} \le x + 9\]

We want to focus on getting that down to just 'x'

so how can we do that?

Answer 4

Add 5 to both sides.

Answer 5

Well...we know that 5 is being subtracted from the 'x'....so how about we add 5 to everything in this equation *because remember..what you do to 1 side...you have to do to the other(s)

\[\large 2x - 1 \color \red{+ 5} \le 3x - 5 \color \red{+ 5} \le x + 9 \color \red{+ 5}\]
what do you have after doing that?

Answer 6

Ok. I got \[2x+4\le3x \le1x+14\] Right?

Answer 7

solve taking first two and then last two
and finally write in the form \[a \le x \le b , where~ a~ and~b~are~real~numbers.\]

Answer 8

I don't know...wait..I'm kind of confused......How solve for the first two...then i will solve the last 2. and tell me if im right...but show me how to do the first...2..

Answer 9

\[2x-1 \le 3 x-5,2x-1+5\le 3x-5+5\]
\[2 x+4 \le 3x,2x+4-2 x \le 3x-2x\]
\[4 \le x\]
similarly take last two and solve.

Answer 10

I don't really know how you did it... my original problem is \[2x-1\le 3x-5\le 1x+9\]

Answer 11

\[3 x-5 \le 1x+9\]
add 5
\[3x-5+5 \le 1x+9+5\]
\[3x \le 1x+14\]
\[3 x-1 x \le 1 x+14-1 x\]
\[2 x \le 14\]
divide by 2
\[x \le 7\]
combining
\[4 \le x \le 7 \]

Answer 12

Where did you get 4 from?

Answer 13

He got the 4 from the work he did on the first two sides of the inequality (the left and the middle)...look at his post above his last post...

The trick is to work these in pairs...then put the two "halves" back together at the end...

Answer 14

So he started out by solving \[2x-1\le 3x-5\] and then solved \[3x-5\le x+9\]

Answer 15

once he got each of these, he put the answers back together into a single inequality...

Answer 16

So..is that the answer? Or there's more to it?

Answer 17

Nope...no more than that...as long as you understand what he did..

Answer 18

I actually don't.....I feel like i'm in jupiter...(I'm serious)....Like a lost dog...this is the thing that i hate...(someone starts helping you and then they go offline....) And then someone else helps you and tries to explain it to you..And then your like...uuu..idk...

Answer 19

lol...ok...then let's get you to understand...

Answer 20

do you understand what i said about taking them in pairs?

Answer 21

Before umm...you help me...I'll just post the same question....cuz...this is wierd..

Answer 22

ok