143k views
4 votes
Which points are solutions to the system of inequalities shown below? Check all that apply. < 2x 48 A. (3,3) B. (4,-2) C. (1,-4) D. (5,9) E. (5,3) F. (60)

Which points are solutions to the system of inequalities shown below? Check all that-example-1

1 Answer

1 vote

\begin{gathered} y<2x \\ y<8 \\ x>2 \end{gathered}

Let's check every pair of points:

For:


\begin{gathered} (3,3) \\ 3<8 \\ True \\ 3>2 \\ True \\ 3<2(3)=6 \\ True \end{gathered}

Therefore, this point is a solution to the system of inequalities.

-----------------------------------------

For:


\begin{gathered} (4,-2) \\ -2<8 \\ True \\ 4>2 \\ True \\ -2<2(4)=8 \\ True \end{gathered}

Therefore, this point is a solution to the system of inequalities.

------------------------------------

For:


\begin{gathered} (1,-4) \\ -4<8 \\ True \\ 1>2 \\ False \end{gathered}

Therefore, this point is not a solution to the system of inequalities.

------------------------------------------------

For:


\begin{gathered} (5,9) \\ 9<8 \\ False \end{gathered}

Therefore, this point is not a solution to the system of inequalities.

----------------------------------------------------------

For:


\begin{gathered} (5,3) \\ 3<8 \\ True \\ 5>2 \\ True \\ 3<2(5)=10 \\ True \end{gathered}

Therefore, this point is a solution to the system of inequalities.

-------------------------------------

For:


\begin{gathered} (6,0) \\ 0<8 \\ True \\ 6>2 \\ True \\ 0<2(6)=12 \\ True \end{gathered}

Therefore, this point is a solution to the system of inequalities.

---------------------------------

Hence, the correct answers are:


undefined

User Morten Holmgaard
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories