Solve Each System Of Inequalities By Graphing., Please Help And Show Work!! Evens Only!!

Solve each system of inequalities by graphing.

Please help and show work!! EVENS ONLY!!

 

Answer:

2.) (1.0) ; (0.2)

     (-1,0) ; (0,1)

4.) (1/2 or 0.5, 0) ; (0,1)

     (-2,0) ; (0,1)

6.) (6/5 or 1.2, 0) ; (0,-3)

    (1,0) ; (0,1)

Step-by-step explanation:

So what you have to do is to find the x-intercept and y-intercept.

The goal in finding the x-intercept is to isolate x. To find the x-intercept you must subsitute y with 0. For example, y > -2x + 2 will become 0 > -2x + 2. Then you have to isolate 2 and put it on the other side so the equation will be 0 - 2 > -2x + 2 - 2 which will become -2 > -2x. Since we only want to have x, we should divide both sides with -2 since thats the number with the coefficient of x. So its -2 > -2x all over -2. The final answer will be 1 > x.

Then you have to find the y-intercept which is basically the opposite of y-intercept. You subsitute x with 0. So the equation would be y > -2(0) + 2 and the final answer will be 2.

Now that you have that, your ordered pair will be (1,0) and (0,2). So you plot these on the graph. Ill pm you the graphs and my solutions. For the following numbers, its the same process with this one. Remember that for x-intercept, y is 0 and for y-intercept  x is 0.

I hope this helps :)

Edit: i uploaded my solutions and graphing, ask me if you need any help :)