SOLUTION: Solve the inequality -3<5-2x/5<9 thanks

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Question 29844: Solve the inequality -3<5-2x/5<9
thanks

Found 2 solutions by jb007mi6, Cintchr:
Answer by jb007mi6(53) About Me  (Show Source):
You can put this solution on YOUR website!
multiply everything by "5" to clear the fraction
-15<5-2x<45
subtract everything by 5
-20<-2x<40
divide by 2
-10<-x<20
switch the signs to get x
10>x>-20
change it around so it makes sense
-20

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+-3%3C5-2x%2F5%3C9+ this is an "and" type of equation.
The < < separate the problem into two separate problems
+-3%3C5-2x%2F5+ and +5-2x%2F5%3C9+
They can be worked separately or simultaniously.
I will solve simultaniously.
+-3%3C5-2x%2F5%3C9+ - 5 from 3 5 and 9
+-5=-5=-5+
+-8%3C-2x%3C4+ divide all three parts by 2
+-8%3C-x%3C2+ Problem here is we have a negative variable. with inequalities, when we multiply or divide by a - , the < or > flips.
+-8%3C-x%3C2+ multiply by -1 to all parts and flip the < >
+8%3Cx%3C-2+
+8%3Ex%3E-2+ Now to graph this .. we like the smallest # on the left. Flip the whole thing end for end.
+-2%3Cx%3C8+
The graph is a number line beginning at -2 and going to +8, but the circles at those points are open, since they are not greater than or equal to.