Which set of points contains the solutions to the inequality y < –2⁄3x – 13⁄3? a. {(–3,17), (4,11), (7,19)} b. {(3,–,22), (2,–3), (8,–27)} c. {(2,18), (4,37), (5,15)} d. {(7,–10), (–6,–2), (8,–11)}

 D. {(7,–10), (–6,–2), (8,–11)} is the set of points contains the solution of inequality.

Step-by-step explanation:

Here the given inequality,

y < –2⁄3x – 13⁄3

Since, we can say that a point is the solution of the above inequality if its coordinates satisfy the inequality.

In Set A,  all the elements are not the solution of the above inequality.

Because their coordinates are not satisfying the inequality.

In set B, (2,-3) is not the solution of the above inequality.

Because its coordinates are not satisfying the inequality.

In set C, all the elements are not the solution of the above inequality.

Because their coordinates are not satisfying the inequality.

But, in set D, all elements are the solution of the above inequality.

Because their coordinates are satisfying the inequality.

[ At (7,–10),  -10 < –2⁄3×7 – 13⁄3 ( true), at (-6,-2),  -2 < –2⁄3×-6 – 13⁄3 ( true)

And at (-8,-11),  -11 < –2⁄3×-8 – 13⁄3 ( true)]

Thus, set D of points contains the solutions to the inequality.