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)

Answer 1

what is the answer

Answer 2

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