x-3<2x+5<10
I have to solve numberline and solution set
I can help you out
x-3<2x+5<10 STEP ONE: Recognize that the expression between the two inequality symbols is the expression on ONE side of the equation. then recognize that "x-3" and "10" are the expression on the other side of the equation. Also, recognize that this is two different quastions that we will solve as one equation.
You two equations are : x-3<2x+5 and 2x+5<10
I assume that you know how to work each of these individually. Is this correct?
I'll show you the frist step to sovle to see if you get where Im going
x-3<2x+5<10 -5 -5 -5 -------------- x -8<2x <5 IS THE SAME AS x-3<2x+5 -5 -5 ---------- x -8<2x OR IS THE SAME AS: 2x+5<10 -5 -5 -------------- 2x <5
I got x>-8 and for other inequality x<-5/2
|dw:1349034597874:dw|That got a little weird on screen...
Ok, let me check
yes I see it
my fault 5/2*
x-3<2x+5<10 -5 -5 -5 -------------- x -8<2x <5 x -8< 2x and 2x <5 -1x -1x -- -- ---- ---- 2 2 -8<x and x < 5/2 SO, -8<x<5/2
and you are right
|dw:1349034844084:dw|
|dw:1349034889203:dw|
so could you help me with the number line and solution set Will ss be {5/2,-8}
oo thanks
set builder: {x| -8<x<5/2}
interval notation: because there are no equal to signs then, we use parenthesis for both: (-8, 5/2)
oo thanks and for nuumberline its two open circles right
you have tremendously helped alot thanks man! :D not much people take there precious time to help others but thanks bro.
{5/2,-8} means that x equal 5/2 OR -8 and nothing else. {x| -8<x<5/2} mean sthat x is anything between -8 and 2.5
partenthesis means open circles
anytime you see {___?___} just know that you will see a list of exact answers like 5 or 5,6, & 7....and not a between answer like (5,7) which means 5 througyh 7
those are braces used only for exacts
(?,?) means between and ( means the number glued to it not included in your answer but a [ means it IS included. so for (-8, 5/2) .....-8 is not included but -7.99999999999 is. ok im done, lol
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