Question

Which ordered pairs are in the solution set of the system is liner inequalities y>-1/3x+2 y<2x+3

Answer 1

Option (1)

Explanation:

Given linear inequalities in the graph are,

`y\geq -(1)/(3)x+2`

y < 2x + 3

Here shaded area above the solid line represents the inequality,

`y\geq -(1)/(3)x+2`

And shaded area on the right side of the dotted line represents the solution set of the inequality,

y < 2x + 3

And the solution set of the system of linear inequalities will be represented by the common area of these inequalities.

Therefore, ordered pairs (2, 2), (3, 1) and (4, 2) will lie in the common shaded area.

Option (1) will be the answer.