Question

Which system of linear inequalities is graphed?

{y>3x−2x+2y<4

{y≥3x−2x+2y≤4

{y<3x−2x+2y>4

{y≤3x−2x+2y≥4

Answer 1

As you can see here, the answer is Greater than or equal to.

Answer 2

≤, ≥ - solid line

<, > - dotted line

<, ≤ - shaded above the line

>, ≥ - shaded below the line

We have the solid lines and shaded below the line with negative slope and shaded above the line with positive slope.

`y=3x-2\to m=3 > 0\\\\x+2y=4\to2y=-x+4\to y=-(1)/(2)x+2\to m=-(1)/(2) < 0`

Answer:

`\left\{\begin{array}{ccc}y\geq3x-2\\x+2y\leq4\end{array}\right`