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.

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3 years ago

Find two positive numbers whose difference is 27 and whose product is 874.​

Find two positive numbers whose difference is 27 and whose product is 874.