SOLUTION: Solve the compound inequality. Write the solution set using interval notation and graph the solution set on a number line: -4<2(x-3)&#8804;4. please show graph so I know how

Algebra ->  Inequalities -> SOLUTION: Solve the compound inequality. Write the solution set using interval notation and graph the solution set on a number line: -4<2(x-3)&#8804;4. please show graph so I know how      Log On


   

Question 1046985: Solve the compound inequality. Write the solution set using interval notation and graph the solution set on a number line: -4<2(x-3)≤4.
please show graph so I know how to do this correctly
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Splitting into two separate inequalities is not necessary here, because only the middle member contains a variable.

The typical number properties you already may know will work without complications.

-4%3C2x-6%3C=4

-4%2B6%3C2x-6%2B6%3C=4%2B6

2%3C2x%3C=10

2%2F2%3C2x%2F2%3C=10%2F2

highlight%282%3Cx%3C=5%29
or using interval notation,
(2,5].

An attempt to show a number line with solution
<----------------------------()=========================(=)------------->
                 0            2                          5

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the compound inequality. Write the solution set using interval notation and graph the solution set on a number line: -4<2(x-3)≤4.
please show graph so I know how to do this correctly
Solution, in INTERVAL notation: highlight_green%28matrix%281%2C3%2C+%22%281%22%2C+%22%2C%22%2C+%225%5D%22%29%29