Question 66753
1. I need help in solving the following compound inequality. I also need to write solution set in interval notation and graph. 
-1 (less than or equal to) 3-2x<11 
-1<=3-2x<11
Add 3 along the line to get:
2<=-2x<11
Divide thru by -2 to get:
-11/2<-x<=-1
Interval Ans: [-11/2,-1]

2. I need to graph the following absolute value inequality:
|x+2y|(greater than or equal to) 6 
x+2y>=6 or x-2y<=-6
y<=(-1/2)x+3  or y>=(1/2)x+3
I'll graph the lines; can't graph the inequalities:
{{{graph(300,200,-10,10,-10,10,(-1/2)x+3,(1/2)x+3)}}}
Hope this helps.
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3. I need to graph the following compound inequality: 3-xy+5 
You typed it wrong.
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4. I need to determine whether -4 satisfies the following compound inequality: 
-3x>0 and 3x-4<11 
Substitute -4 for x and see if you get a true statement.
3(-4)-4<11
-12-4<11
-16<11
That's true
-3(-4)>-
12>0
That's true
Ans: -4 satisfies the compound inequality
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Cheers,
Stan H