+0  
 
0
80
2
avatar+20 

 

steps please? and thank you for the help

gakinotsukai  Aug 21, 2018
 #1
avatar+91019 
+2

First one...here's one way to do this....pick a point in the shaded area...I'll choose (1,2)  = (x , y)

 

Note that this satisfies   y  ≥   1      and    y  - x  >  0

 

So...the second answer is correct for the first one

 

 

cool cool cool

CPhill  Aug 21, 2018
 #2
avatar+91019 
+1

Similarly...for the second one...let's pick  ( 4 , 0)  = (x , y)

 

Look  at the last answer..... plug in  4 for x   and 0  for y  and we have

 

0 > -2(4) - 2

0 > -8 - 2

0 >  -10     which is true

 

Also

 

0  ≤ -(1/2)(4) + 6

0 ≤ -2 + 6

0 ≤ 4     which is also true

 

Lastly

0 ≤ 4     which is also true

 

Since  all  three inequalities are true, this must be the correct answer

 

Check for yourself that at least one equation in each of  the other three answers gives an incorrect inequality

 

For example in the first two answers

y ≤ -2x + 6     will not be true for  (x, y)  =  (4,0)

 

And in the third answer

y ≥ x  will not be true  for  (x, y)  = ( 4,0)

 

Hope that helps.....!!!!

 

cool cool cool

CPhill  Aug 21, 2018

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