Respuesta :

The two dotted lines graphed in the image above are captured by the equations y = x and y = 2. We can see that none of the shaded area falls below the line y = 2, so we can say that all solutions must lie above that line, meaning y > 2. We can also see that, even above the line y = 2, none of the shaded area falls below the line y = x, meaning y > x, too. These two conditions are captured in answer C.

  From the graph attached, system of inequalities will be represented by Option (C).

  In the graph attached, common area of both the inequalities has been shown by the shaded region.

Both the lines are dotted and the solution areas will be above both the lines.

Since, the lines are dotted, inequalities will have no sign of equal to (=).

And solution areas (shaded areas) of these inequalities are above the lines, so there will be the sign of greater than (>).

For the line passing through the origin,

Equation of the inequality will be,

y > x

For the line passing through y = 2,

Equation of the inequality will be,

y > 2

   Therefore, Option (C) will be answer.

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