Question
Which graph represents the solution set for –5x+7 > 42 or 4x+7 > -9?
Answers
GPT 3.5
The solution set for -5x+7 > 42 or 4x+7 > -9 can be represented by the shaded region in the graph below:
-5x+7 > 42
x < -7
4x+7 > -9
x > -4
Therefore, the solution set is x < -7 or x > -4.
This can be represented by the shaded region in the graph below:
-2 -4 -6 -8
--------------------|------o-------o-------o--------o--------o-------o------
-7 -6 -5 -4 -3 -2
In the graph above, the shaded region to the left of -7 and to the right of -4 represents the solution set for the inequality -5x+7 > 42 or 4x+7 > -9.
-5x+7 > 42
x < -7
4x+7 > -9
x > -4
Therefore, the solution set is x < -7 or x > -4.
This can be represented by the shaded region in the graph below:
-2 -4 -6 -8
--------------------|------o-------o-------o--------o--------o-------o------
-7 -6 -5 -4 -3 -2
In the graph above, the shaded region to the left of -7 and to the right of -4 represents the solution set for the inequality -5x+7 > 42 or 4x+7 > -9.