Question

The system graphed is

y is less than or equal to 5x+1 and x is less than or equal to 0

Which of the ordered pairs is a solution of the system?

graph of the system y≤5x+1 and x≤0
A. (0, -1)
B. (-2, 3)
C. (2, 4)
D. (3, -1)

Answer 1

consider x≤0,
when x>0, the answer can be rejected
therefore C and D will not be the answer
consider y≤5x+1
when x = 0
RHS = 5(0)+1 = 1 > -1
therefore A can be the order pair
when x=-2
RHS = 5(-2)+1 = -10+1 = -9<-1
therefore B does not satisfy the inequality
So you should get the answer now