Question

Which ordered pair is in the solution set of

Answer 1

[D] (-1,3)

Explanation:

To know which ordered pair is in the solution set of -3x+4y < 20 we first need to identify the x-value in the ordered pair and plug it into the equation. When simplify, on the condition the y-value you get is identical as the y-value in the ordered pair, then that ordered pair is a solution to the equation.

Now let's solve:

To find the solution of the equation is ordered pair substitute the value of x and y co-ordinate to check set of ordered pair is the solution of the given equation.

Given:

-3x + 4y < 20

[A] (-5,3)

-3(-5)+4(3)<20

The left side 27 is not less than the right side 20, which means the statement is false

-3x + 4y < 20

[B] (-3,5)

-3(-3)+4(5)<20

The left side 29 is not less than the right side 20, which means the statement is false

-3x + 4y < 20

[C] (1,7)

-3(1)+4(7)<20

The left side 25 is not less than the right side 20, which means that the given statement is false.

-3x + 4y < 20

[D] (-1,3)

-3(-1)+4(3)<20

The left side 15 is less than the right side 20, which means that the given statement is always true.

Hence, Answer is [D] (-1,3)

[RevyBreeze]

Answer 2

D. (-1, 3)

Explanation:

Substitute the points for x and y, until you find the one that makes the equation true.

A. (-5, 3)

-3x + 4y < 20 <== substitute

-3(-5) + 4(3) < 20

15 + 12 < 20

27 < 20

This statement is false (27 is greater than 20, not less than)

B. (-3, 5)

-3x + 4y < 20

-3(-3) + 4(5) < 20

9 + 20 < 20

29 < 20

This statement is false (29 is greater than 20, not less than)

C. (1, 7)

-3x + 4y < 20

-3(1) + 4(7) < 20

-3 + 28 < 20

25 < 20

This statement is false (25 is greater than 20, not less than)

D. (-1, 3)

-3x + 4y < 20

-3(-1) + 4(3) < 20

3 + 12 < 20

15 < 20

This statement is true (15 is less than 20)

Therefore, the correct answer is D

Hope this helps!