SOLUTION: Solve and graph the following 30>=-7x-12>16

Algebra ->  Inequalities -> SOLUTION: Solve and graph the following 30>=-7x-12>16      Log On


   

Question 878983: Solve and graph the following
30>=-7x-12>16
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
30%3E=-7x-12%3E16


30%2B12%3E=-7x-12%2B12%3E16%2B12 Add 12 to all sides


42%3E=-7x%2B0%3E28


42%3E=-7x%3E28


42%2F%28-7%29%3C=-7x%2F%28-7%29%3C28%2F%28-7%29 Divide all sides by -7 (this will flip the inequality signs)


-6%3C=1x%2F1%3C-4


-6%3C=x%3C-4


-------------------------------------------------------


To graph -6%3C=x%3C-4


Step 1) Draw a number line


Step 2) Plot a closed circle at x = -6


Step 3) Plot an open circle at x = -4


Step 4) Shade between those circles.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
+30%3E=-7x-12%3E16+

30%2B12%3E=-7x-12%2B12%3E16%2B12
42%3E=-7x%3E28
42%2F-7%3E=-7x%2F-7%3E28%2F-7
+-6%3C=x%3C-4+

Solved by pluggable solver: Plot two numbers on number line
+number_line%28+500%2C+-9%2C+9%2C+-6%2C+-4+%29+
where -6 is included and -4 is excluded part of solution