Question

what points satisfy the inequality y>=-2x+5

Answer 1

Please graph y = -2x + 5

Answer 2

the choices i have are A. (2,2) B. (1,-2) C. (1,10) D. (0,5) E. (-1,5) F. (0,4) which of these satisfies y>=-2x+5

Answer 3

Okay, fine. If we just have to test them all, let's get to it. Make a list:

Start with all five x-values

2
1
1
0
-1
0

Multiply each by -2

2 -- -4
1 -- -2
1 -- -2
0 -- 0
-1 -- 2
0 -- 0

Add five to each

2 -- -4 -- 1
1 -- -2 -- 3
1 -- -2 -- 3
0 -- 0 -- 5
-1 -- 2 -- 7
0 -- 0 -- 5

Compare them to the given y-value

2 -- -4 -- 1 <= 2 TRUE
1 -- -2 -- 3 <= -2 FALSE
1 -- -2 -- 3 <= 10 TRUE
0 -- 0 -- 5 <= 5 TRUE
-1 -- 2 -- 7 <= 5 FALSE
0 -- 0 -- 5 <= 4 FALSE

Sometimes, there is no awesome trick. You just have to be systematic and thorough.

Answer 4

thank you so much!

Answer 5

Did you follow all that? If you have a fancy calculator, it will just build a table for you. It can be pretty easy. Even easier with a spreadsheet.