Question

Which of the following points are solutions to the system of inequalities shown below?
Check all that apply.
y≤-2x+6
x>1
A) (1,4)
B) (2,11)
C) (2,1)
D) (0,6)
E) (3,0)
F) (5,-6)

Answer 1

You will need to examine each one.
A. x is not greater than 1 so I would believe it can be disregarded. The same goes for D.

Answer 2

Looking at B. It satisfies the x>1 now for the other test 11< or = -8+6 or\[11\le 6\]It fails.

Answer 3

Check out C now \[1\le -2\times2+6\]\[1\le 2\] That is a good one (a solution).
Hopefully you now get the drift and can check out E and F

Answer 4

Thank you sir. :)

Answer 5

No problem, if you run into difficulty, I will be standing by.

Answer 6

So does E equal the inequality? And F does not?

Answer 7

let me check

Answer 8

\[0\le -2\times 3 +6\]
0=0 it is ok and is a solution.
\[-6\le -2\times 5 +6\]\[-6\le -4\] That is also true thus a good answer also.

Answer 9

So E and F are OK and are solutions also.

Answer 10

Thank you!!! :D