SOLUTION: How do you graph this inequality?: 11 < 4x+3y < 15 ( the "<"'s are supposed to have a line under them) -Thank you.

Question 984089: How do you graph this inequality?:
11 < 4x+3y < 15
( the "<"'s are supposed to have a line under them)
-Thank you.

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
11 < 4x+3y < 15
Graph the line:
11=4x+3y (See red line on graph.)
Graph the line:
4x+3y=15 (See green line on graph)
.
Test to see which interval(s) is true:
.
Test point (1,1) in lower left:
11<4(1)+3(1)<15
11<7<15 False, 11 is not less than 7
.
Test point (3,3) in upper right:
11<4(3)+3(3)<15
11<21<15 False, 21 is not less than 15.
.
Test point (2,2) between the lines:
11<4(2)+3(2)<15
11<14<15 True, so the area between the lines is included.
.
Graph the two lines (use a solid line since the "equal" is included. Without the equal, these lines would be dotted). SHADE THE AREA BETWEEN THE LINES (Not shown on graph below)

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