Answer
3rd Graph
Step-by-step explanation
To get the correct graph the represent the inequality 6x + 4y < 12, we test all graphs and see which one that satisfy s it.
1st graph
Take a point, i.e (0,0) and (2,1)
Y=0 and x=0
6x + 4y < 12
6(0) + 4(0) < 12
0 < 12 true
6(0) + 4(1) < 12 ⇒ 12 + 4 < 12
16 < 12 False.
2nd graph
For a point ⇒ 0 < 12 Not true
3rd Graph
For a point (0, 0) ⇒ 0 < 12 true.
For a point (3,1) ⇒ 22 < 12 the graph represents this correctly.
4th graph
For a point ⇒ 0 < 12 Not true