This graph represents −2x+y=4. Which ordered pair is in the solution set of −2x+y≥4? (2, −1) (2, 1) (−2, 1) (−2, −1)

Answer 1

−2x+y=4

solve for y =

y=2x+4

let's look at the coordinates given (x,y): (2,-1),(2,1),(-2,1),(-2,-1)

Part 1.

Test first x=2,

y=2(2)+4=8, so the point on the line y=2x+4 is (2,8)

Part 2.

Test second point x=-2,

y=2(-2)+4=0, so the point on the line y=2x+4 is (2,0)

let's now take a look at inequality, but first reorganize solving for y=

y≥2x+4, so the y is GREATER or equal than the 2x+4 answer, we have no answer which is equal, but which y values are Greater? for x = 2, is y = -1 greater than 8 (part 1 before), no, is y=1 greater than 8, also no.

Now same test, for x = -2, is y = 1 greater than 0 (from part 2 before), YES, is y=-1 greater than 0, also no.

Answer: only point (-2,1) satisfies the inequality

Answer 2

This graph represents −2x+y=4. Which ordered pair is in the solution set of −2x+y≥4? (2, −1) (2, 1) (−2, 1) (−2, −1)

When given multiple choice, you can always plug in the values and see which one satisfies the inequality.

-2(2) + (-1) >= 4

-4 + (-1) >= -4 Is this true?

-2(2) + (1) >= 4

-4 + 1 >= 4. Is this true?

-2(-2) + (1) >= 4

4 +1 >= 4. Is this true?

-2(-2) + (-1) >= 4

4 + (-1) >= 4. Is this true?

I hope this helps you get started. Have a great day!

Mrs. S