Question

Question 5(Multiple Choice Worth 1 points)

(05.06 LC)
Which of the following points lie in the solution set to the following system of inequalities?
ysx-5
ys-x-4
(1, 10)
(-1, 10)
(10, 1)
(1,-10)

Answer 1

The point that lies in the solution set to the following system of inequalities is (1,10).

To check, substitute the values of x and y into each inequality:

ys > x-5

y < x+4

For the point (1,10):

10 > 1-5 is true (10 > -4)

10 < 1+4 is true (10 < 5)

Therefore, (1,10) satisfies both inequalities and lies in the solution set. The other three points do not satisfy at least one of the inequalities, and thus do not lie in the solution set.

Explanation: