Match Inequality Graph
A -2(3x - 1) > 20 Graph A
B 2(13x) < 20 Graph B
C -2(1 - 3x) > 16 Graph C
D 2(3x - 1) < 16 Graph D
Match A:
The inequality -2(3x - 1) > 20 can be rewritten as -6x + 2 > 20. Subtracting 2 from both sides gives -6x > 18. Dividing both sides by -6 gives x < -3. Therefore, the solution region is all values of x less than -3, which is represented by Graph A.
Match B:
The inequality 2(13x) < 20 can be rewritten as 26x < 20. Dividing both sides by 26 gives x < 0.769. Therefore, the solution region is all values of x less than 0.769, which is represented by Graph B.
Match C:
The inequality -2(1 - 3x) > 16 can be rewritten as 6x - 2 > 16. Adding 2 to both sides gives 6x > 18. Dividing both sides by 6 gives x > 3. Therefore, the solution region is all values of x greater than 3, which is represented by Graph C.
Match D:
The inequality 2(3x - 1) < 16 can be rewritten as 6x - 2 < 16. Adding 2 to both sides gives 6x < 18. Dividing both sides by 6 gives x < 3. Therefore, the solution region is all values of x less than 3, which is represented by Graph D.