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

Question 29844: Solve the inequality -3<5-2x/5<9
thanks
Found 2 solutions by jb007mi6, Cintchr:
Answer by jb007mi6(53) (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) (Show Source): You can put this solution on YOUR website!
this is an "and" type of equation.
The < < separate the problem into two separate problems
and
They can be worked separately or simultaniously.
I will solve simultaniously.
- 5 from 3 5 and 9

divide all three parts by 2
Problem here is we have a negative variable. with inequalities, when we multiply or divide by a - , the < or > flips.
multiply by -1 to all parts and flip the < >

Now to graph this .. we like the smallest # on the left. Flip the whole thing end for end.

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.

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