Question

Which graph represents the solution set of the system of inequalities?

{y<2/3x
y≥−x+2

Answer 1

y<2/3x
y≥−x+2

It's the last graph

Answer 2

Last graph is the answer.

Explanation:

The inequalities are y <
`(2)/(3)x` and y ≥ -x + 2

Now first inequality y <
`(2)/(3)x` will represent a dotted line passing through origin and a point (3, 2)

This inequality will be in the form a dotted line and shaded area will be below the line.

Second inequality is y ≥ -x + 2

Line representing the inequality will be solid in shape and shaded area will be above this line.

Common shaded area of both the inequalities matches with the last option.

Therefore, Last option (second row last figure) will be the answer.