Question

Which ordered pair is not in the solution set of 1 |y> - >: 5 > < 32 - 2 (A) (53) (B) ( 4,3) (4.4) (D) (3,5)

Answer 1

The system of inequalities would be represented by:

`3x-2>-(1)/(2)x+5`

We can simplify by using inverse operations:

`\begin{gathered} 3x>-(1)/(2)x+5+2 \\ 3x>-(1)/(2)x+7 \\ 3x+(1)/(2)x>7 \\ (7)/(2)x>7 \\ 7x>7\cdot2 \\ x>(14)/(7) \\ x>2 \end{gathered}`

Then, with if we graph the system of inequalities, we get:

The ordered pair that is not in the solution set would be(4,3)