The matching of the inequality on the left with the appropriate graph on the right:
Inequality Graph
3x+2<8 (2)
-4x-1<-9 or 2x+7<9 (3)
-1<4x+3<11 (4)
-3x+4>1 and 3x-4>2 (1)
Let's analyze each inequality and match it to the corresponding graph:
3x+2<8: This inequality can be solved to get x<2. The corresponding graph is (2), which shows a line with an open circle at x=2 and the shaded area to the left of the line.
-4x-1<-9 or 2x+7<9: This inequality can be solved to get -1.5<x<4. The corresponding graph is (3), which shows two open circles at x=-1.5 and x=4 and the shaded area between the two circles.
-1<4x+3<11: This inequality can be solved to get -1<x<2. The corresponding graph is (4), which shows two open circles at x=-1 and x=2 and the shaded area between the two circles.
-3x+4>1 and 3x-4>2: This inequality can be solved to get x<1/3 or x>2. The corresponding graph is (1), which shows two open circles at x=1/3 and x=2 and the shaded area outside the two circles.