78.4k views
4 votes
Which of the following points IS a solution to the system: y > - 3x + 4 / y > 2x / - y < 7 Selected answer is not correct.

Which of the following points IS a solution to the system: y > - 3x + 4 / y &gt-example-1
User Ayplam
by
8.1k points

1 Answer

7 votes

Answer:

Solution : Third Option

Explanation:

The first step here is to make all the signs uniform. As you can see the third inequality has a less than sign, which we can change to a greater than sign by dividing negative one on either side, making the inequality y > - 7.


\begin{bmatrix}y>-3x+4\\ y>2x\\ y>-7\end{bmatrix}

Now take a look at the third option. Of course the y - coordinate, 3, is greater than - 7, so it meets the third requirement ( y > - 7 ). At the same time 3 > 1( 2 ) > 2, and hence it meets the second requirement as well. 3 > - 3( 1 ) + 4 > - 3 + 4 > 1, meeting the first requirement.

Therefore, the third option is a solution to the system.

User Kaung Myat Lwin
by
7.7k 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