Choose the point which is a solution to the system of inequalities:

y less than or equal to –x + 7
y

Question

Choose the point which is a solution to the system of inequalities:

y less than or equal to –x + 7
y < 3x + 11
Answer
		
(–5, 5)
		
(5, 5)
		
none of the above
		
(–5, –5)

anonymous · Answer

what is the answer

ash2326 · Answer

We have
$$y \le -x+7\ and\ y<3x+11$$
Let's check each option. The point should simultaneously satisfy both
a)(-5, 5)
x=-5 y=5
$$5 \le -(-5)+7\ and\ 5<3*(-5)+11$$
First is satisfied but second isn't
Let's check 
c)(5, 5)
$$5 \le -5+7\ and\ 5<3*5+11$$
here second is satisfied but first isn't 
Let's check d
d)(-5, -5)
$$-5 \le -(-5)+7\ and\ -5<3*-5+11$$
Here both are satisfied so option D is the correct answer