Is

Question

\[(1,2)\] a solution of
\[6x-y>3\] ?
Choose 1 answer:
Choose 1 answer:
(Choice A) Yes
A
Yes
(Choice B) No
B
No

Answer 1

To determine if the point (1,2) is a solution of the inequality 6x-y>3, we substitute the x and y values into the inequality and see if it holds true.

We have 6(1) - 2 > 3
Simplifying, we get 6 - 2 > 3
This simplifies to 4 > 3 which is true.

Therefore, the point (1,2) is a solution of the inequality 6x-y>3.

The answer is (Choice A) Yes.

Answer 2

Is
\[(3,4)\] a solution of
\[y < 4x -2\] ?
Choose 1 answer:
Choose 1 answer:
(Choice A) Yes
A
Yes
(Choice B) No
B
No

Answer 3

To determine if the point (3,4) is a solution of the inequality y < 4x - 2, we substitute the x and y values into the inequality and see if it holds true.

We have 4 < 4(3) - 2
Simplifying, we get 4 < 12 - 2
This simplifies to 4 < 10 which is true.

Therefore, the point (3,4) is a solution of the inequality y < 4x - 2.

The answer is (Choice A) Yes.

Answer 4

Is
\[(-3,-5)\] a solution of the graphed inequality?
Choose 1 answer:
Choose 1 answer:
(Choice A) Yes
A
Yes
(Choice B) No
B
No

Answer 5

Since the graphed inequality is not provided in the question, I am unable to determine whether the point (-3,-5) is a solution or not. Please provide the graphed inequality or more information about it.

Answer 6

\[\begin{aligned}
&x-6y>5
\\\\
& 7x+2y\geq 4
\end{aligned}\]
Is
\[(10,-2)\] a solution of the system?

Answer 7

To determine if the point (10, -2) is a solution of the system of inequalities, we substitute the x and y values into each inequality and see if they both hold true.

For the first inequality, we have 10 - 6(-2) > 5.
Simplifying, we get 10 + 12 > 5.
This simplifies to 22 > 5, which is true.

For the second inequality, we have 7(10) + 2(-2) >= 4.
Simplifying, we get 70 - 4 >= 4.
This simplifies to 66 >= 4, which is also true.

Therefore, the point (10, -2) satisfies both inequalities, and it is a solution of the system.

The answer is (Choice A) Yes.

Answer 8

\[\begin{aligned}
& 2x+5y>-6
\\\\
& -4x+3y \leq 2
\end{aligned}\]
Is
\[(-1,7)\] a solution of the system?

Answer 9

To determine if the point (-1, 7) is a solution of the system of inequalities, we substitute the x and y values into each inequality and see if they both hold true.

For the first inequality, we have 2(-1) + 5(7) > -6.
Simplifying, we get -2 + 35 > -6.
This simplifies to 33 > -6, which is true.

For the second inequality, we have -4(-1) + 3(7) <= 2.
Simplifying, we get 4 + 21 <= 2.
This simplifies to 25 <= 2, which is false.

Therefore, the point (-1, 7) satisfies the first inequality but not the second inequality.

The answer is (Choice B) No.

Answer 10

\[\begin{aligned}
& 9x+4y<8
\\\\
& -3x-7y\geq 5
\end{aligned}\]
Is
\[(1,-2)\] a solution of the system?

Answer 11

To determine if the point (1,-2) is a solution of the system of inequalities, we substitute the x and y values into each inequality and see if they both hold true.

For the first inequality, we have 9(1) + 4(-2) < 8.
Simplifying, we get 9 - 8 < 8.
This simplifies to 1 < 8, which is true.

For the second inequality, we have -3(1) - 7(-2) >= 5.
Simplifying, we get -3 + 14 >= 5.
This simplifies to 11 >= 5, which is true.

Therefore, the point (1,-2) satisfies both inequalities, and it is a solution of the system.

The answer is (Choice A) Yes.