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I got 2.6 but it said it was incorrect
3|2x -5 | > 21 --> |2x -5 | > 7 --> Equation 1:2x -5 > 7 Equation 2:2x -5 < -7
you double divide both sides by 3 3|2x - 5| > 21 ------------ 3 3 |2x - 5| > 7 now you have 2 equations 2x - 5 > 7 2x - 5 < -7
Equation 1:2x > 12 Equation 2:2x < -2
This one will go no better than the last. Please post YOUR work. @FutureMathProfessor please stop doing peoples' homework for them.
Equation 1:x > 6 Equation 2:x < -1
@jazzyfa30 how in the world did you get 2.6?
I did this 3|2x -5 | > 21 3*2x+5>21 6x+5>21 -5 -5 6x>16 6 x=2.6
Ahh...no this is an absolute value sign...not a form of parenthesis...you do not multiply into them
Also missed the distributive property. @jazzyfa30 Are you sure you are prepared for this course?
i know that i thought i was still suppose to multiply and i don't like the criticism thank you
nope not with absolute values so we have 3|2x - 5| > 21 you want to first get the absolute value all alone....that's why we divide both sides by 3 it leaves us with |2x - 5| > 7 now as we know absolute value changes negative numbers to positive...we can set up 2 equations 2x - 5 > 7 and 2x - 5 < -7 because the | -7 | is still 7 right? so now we can solve for x in both those equations
okay i understand know but still confused on the answer i'm trying to figure it out but i think it is 6
That is the answer for 1 equation 2x - 5 > 7 +5 +5 2x > 12 ------- 2 2 x > 6 is 1 answer...but there is another...now you must solve for 'x' in the other equation 2x - 5 < -7
3|2x -5 | > 21 --> |2x -5 | > 7 --> Equation 1:2x -5 > 7 Equation 2:2x -5 < -7 Equation 1:2x > 12 Equation 2:2x < -2 Equation 1:x > 6 Equation 2:x < -1
and -6 i think that's what your talking about
6 and -1 are your answers
x > 6,x < -1
Just try to remember that with absolute values...there are going to be more than 1 answer....as @FutureMathProfessor has shown...there are 2 answers for x x > 6 and x < -1
okay @FutureMathProfessor please stop doing the work it doesn't help me any it just confuses me but thanks for the help
but how do you get x<-1
There has been no criticism, only an honest question.
oh ok sorry if i offended you
No offense, either. It just seems to me that you are lacking some important fundamentals. I wish I could help you find them and practice more on them. It just doesn't work well enough in this arena.
Absolute values require this principle. If you can GUARANTEE that what is inside is positive or zero, the absolute values do nothing and they can be discarded. \(|x| = x\) IF \(x \ge 0\) Example: \(|3| = 3\) If you can GUARANTEE that what is inside is negative, the absolute values can be removed by changing the sign of the contents. \(|x| = -x\) IF \(x < 0\) Example: \(|-3| = -(-3) = 3\) Anyway, that's how I think about it. It helps me solve such problems.
o thanks tat made it way easier to understand because it doesn't have numbers in it and if you want you can help me through Skype I normally understand math very well but i think im just not really understanding it without a teacher to explain it to me and go through the work with me but i would really appreciate it if you could help me just message me and we can talk about it
You will have to seek some local resources or truly come to terms with your ability to succeed on your own. Online study is not for everyone. "Alone" is for almost no one.