Question

Which is the graph of linear inequality 2y>X-2

Answer 1

$2y > x-2\qquad|:2\\\\y > \dfrac{1}{2}x-1$

for < or > line is - - - - - - - -

for ≤ or ≥ line is _________

for < or ≤ shaded below the line

for > or ≥ shaded above the line

Therefore your answer is the third graph.

Answer 2

Answer:

Option C. is the correct option.

Step-by-step explanation:

The given inequality is 2y > x - 2

1). As we know on a graph > (greater than) sign reflects the shaded part above the line

and < (less than) tells about the shaded region below the line.

2). If there is a sign of equality ≥ or ≤ then the line is denoted by a solid line in the graph.

When signs are in the form of > or < only then line will be in the dotted form.

By these rules we can easily say shaded area above the dotted line represents the solution area of the inequality 2y > x - 2.

Therefore, option C is the answer.