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

Which is the graph of linear inequality 2y>X-2-example-1

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2y > x-2\qquad|:2\\\\y > (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.

User Bryan C
by
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2 votes

Answer:

Option C. is the correct option.

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.

User Oliver Hausler
by
8.5k points

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