Question

PLEASE HELP ASAP 25 POINTS

Answer 1

So answer is C.

Hmm first I'll check the slanted line cutting 2nd quardrant..

some points on this line are (-3,0),(0,3),(2,5),(3,6),etc.

Testing (-3,0)=(x,y):

y=-3+3=0 (true)..comparable with y=x+3

Testing (2,5)=(x,y):

y=2+3=5 (true)..comparable with y=x+3

Since this line bounds the value within some limits less than or equal to x+3(see graph you can see it clearly)...so it can be represented by y<=x+3.

Similarly for next line cutting 1st and 4th quardrant,

Points: (0,-4),(1,-1),(2,2),etc..

Testing (0,-4)=(x,y):

y=3*0-4=-4(true)...comparable with y=3x-4

Testing (1,-1)=(x,y):

y=3*1-4=-1(true)...comparable with y=3x-4

This line bounds within the region y>3x-4

NOTE:

1)If the region is bounded by solid line(line without dot) then you write inequality as y<=something or y>= something.

2)If the region is bounded by dotted line(line withdot) then you write inequality as y<something or y> something.

Hope this helps!