Question

Which ordered pairs are solutions to the inequality 2x + y > –4?

Choose all answers that are correct.

A- (–3, 0)
B- (–1, –1)
C-(4, –12)
D-(0, 1)
E-(5, –12)

Answer 1

plug in zero for one variable and solve for the other

Answer 2

@adamaero has the best idea.

To find all the coordinates of \(x\), plug in 0 for \(y\):

2x + y > –4

2x + 0 > -4

2x > -4

x > -2

So all the x points that are greater than -2 will be answer choices.

No we have to plug in 0 for x to find the y values:

2x + y > -4

2(0) + y > -4

0 + y > -4

y > -4

So all the x points that are greater than -2 that are with the y points that are greater than -4, are choices.

Answer 3

(–3, 0)

The x-coordinate is -3.

We want x-coordinates that are greater than -2. -3 is smaller than -2, so it is not a choice.

Answer 4

(-1, -1)

-1 is greater than -2 AND -4, so this is an answer choice.

Answer 5

(4, -12)

4 is greater than -2.

However, -12 is not greater than -4.

So this is incorrect too.

Answer 6

(0, 1)

0 is greater than -2, and 1 is greater than 4.

So this is an answer choice.

Answer 7

(5, -12)

5 is greater than -2.

But -12 is not greater than -4, so this is not answer choice.

Answer 8

So (-1, -1) and (0, 1) are the only answers.