Please help me with these questions, I'm really struggling.
Which of the following ordered pairs is included in the solution set of the system, y < 2 - 2x and y > 2x -3?
Choose all correct answers. Which of the following are solutions of the system?
x < 3 and x + y < 5
Which one of the following is a solution of the system?
y <-1 and y > 8
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
You just plug in the value for x and y for the first problem using the (x,y) values given as possible solutions.
So the first problem y< 2-2x and y> 2x-3. Start with first possible solution (0,0). So plug in x=0 and y=0 into both inequalities.
0< 2-(2)(0) Which gives us 0<2 which is true.
Now the other one 0>(2)(0)-3 Which gives us 0>-3 which is also true.
Since (0,0) is true for both inequalities, then (0,0) is a solution.
Let's check another possible solution (3,4). So we plug in x=3 and y=4 into both inequalities.
4<2-(2)(3) Which gives us 4<-4 which is false.
Now check the other one.
4>(2)(3)-3 Which gives us 4>3 which is also false.
Since (3,4) is false for at least one inequality, then it is not a solution.
You do the same process for the other possible solution.
For the other two questions, use the same process. However, some of the inequalities are not using both variables (x,y). So just plug in the one you need.
For example x<3, you only need the x value of the (x,y) values. So the first possible solution is (4,2). So only use the x=4 value.
You will have 4<3 which is false. The minute you get a false for either inequality, that possible solution is not a solution, and you can move on to the next possible solution.