Which inequality is represented by the graph?

3rd Option is correct.

Step-by-step explanation:

Given a graph of inequality.

We need to find inequality from given options.

From graph , Origin Point is in shaded region. Means origin will satisfy the inequality.

Inequality 1.

y > -2/3x + 1

put x = 0 , y = 0

LHS = y = 0

RHS = -2/3x + 1 = 1

LHS < RHS

Thus, This is not the inequality of graph.

Inequality 2.

y < -2/3x + 1

put x = 0 , y = 0

LHS = y = 0

RHS = -2/3x + 1 = 1

LHS < RHS

Now put x = 0 , y = 1

LHS = y = 1

RHS = -2/3x + 1 = 1

LHS = RHS

Thus, This is not the inequality of graph.

Inequality 3.

y < -3/2x + 1

put x = 0 , y = 0

LHS = y = 0

RHS = -2/3x + 1 = 1

LHS < RHS

Thus, This is the inequality of graph.

Inequality 4.

y > -3/2x + 1

put x = 0 , y = 0

LHS = y = 0

RHS = -3/2x + 1 = 1

LHS < RHS

Thus, This is not the inequality of graph.

Therefore, 3rd Option is correct.

4th option is correct xy=-10

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table 3 represents a direct variation function. : )