Question 876450: i need to solve and graph the compound inequality if possible on a number line
-6<=3(x+5)<=18 please help
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! -6 <= 3(x+5) <= 18
-6/3 <= 3(x+5)/3 <= 18/3 ... Divide all sides by 3
-2 <= x+5 <= 6
-2-5 <= x+5-5 <= 6-5 ... Subtract 5 from all sides
-7 <= x+0 <= 1
-7 <= x <= 1
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Graphing:
Step 1) Draw a number line. Include the values -10, -9, ..., 9, 10
Step 2) Plot closed circles at x = -7 and x = 1
Step 3) Shade between the closed circles.
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