Which of the following points lie in the solution set to the following system of inequalities? y ≤ x − 5 y ≤ −x − 4 (1, 10) (−1, 10) (10, 1) (1, −10)

(1, -10)

Step-by-step explanation:

Since, a point lies in the solution set to a system of inequalities if it satisfies all inequalities of the system.

Here, the given system of inequalities,

y ≤ x - 5

y ≤ -x - 4,

Since, for (1, 10),

10 ≤ 1 - 5   ( False ),

⇒ (1, 10) does not lie in the solution of the system,

For (-1, 10),

10 ≤ -1 - 5   ( False ),

⇒ (-1, 10) does not lie in the solution of the system,

For (10, 1),

1 ≤ -10 - 4   ( False ),

⇒ (10, 1) does not lie in the solution of the system,

For (1, -10),

-10 ≤ 1 - 5 ( True )

-10 ≤ -1 - 4   ( True ),

⇒ (1, -10) lies in the solution of the system.