Question

Thank you

Answer 1

1. (0,0)
x < 3 : 0 < 3 (solution)
y >= 4x : 0 >= 4(0) : 0 >= 0 (solution)
y <= 2x - 4 : 0 <= 2(0) - 4 : 0 <= -4 (not a solution)
y > 2/3x - 6 : 0 > 2/3(0) - 6 : 0 > -6 (not a solution)

do you see how I am doing this...do you understand ?

Answer 2

just sub in your points (x,y) into the inequalities and if they come out true, it is a solution

Answer 3

you want to work on the second one now

Answer 4

So for the next one x<3 isn't a solution

Answer 5

look again....(-3,-8) x = -3 and y = -8
x < 3 (sub in -3 for x)
-3< 3
Is -3 less then 3 ?

Answer 6

x<3
-3<-8 False or is that not the right way to do it?

Answer 7

y > 2/3x-6

-8 > -10 True

, y ≤2x-4, y>2/3x-6

Answer 8

looks like the only solution in this one

Answer 9

let me check...hold on

Answer 10

Also sorry to back track but on #1 would the last one be a solution? y>2/3x-6
0 > -6 =solution

Answer 11

(-3,-8)
x < 3 : -3 < 3 (solution)
x >= -4x : -3 >= -4(-8) : -3 >= 32 (not a solution)
x <= 2x - 4 : -3 <= 2(-8) - 4 : -3 <= -16 - 4 : -3 <= -20 (not a solution)
y > 2/3x - 6 : -8 > 2/3(-3) - 6 : -8 > -1/2 - 6 : -8 >-1/2 - 12/2 : -8 > -13/2 : -8 > - 6 1/2 (not a solution)

(0,0)
y > 2/3x - 6
0 > 2/3(0) - 6
0 > -6 (solution) -- you were right

Answer 12

wait...I did one wrong...let me check it again

Answer 13

(-3,-8)
y > 2/3x - 6 : -8 > 2/3(-3) - 6 : -8 > -2 - 6 : -8 > -8 (not a solution)...even though I did the math wrong, the answer is still the same

Answer 14

so you have 3 solutions in the first one, and 1 solution in the second one

Answer 15

So using the same inequality as those for points (5,0) the only solution would be y ≤2x-4 am I correct on that?

Answer 16

x<3 is out of the picture

Answer 17

Oh also y ≥-4x could be a solution

Answer 18

(5,0)
y <= 2x - 4
0 <= 2(5) - 4
0 <= 10 - 4
0 <= 6 (that is a solution)

x < 3
5 < 0 (not a solution)

y >= -4x
0 >= -4(5)
0 >= -20 (this is a solution)

y > 2/3x - 6
0 > 2/3(5) - 6
0 > 10/3 - 6
0 > 10/3 - 18/3
0 > -8/3 (this is a solution)

Answer 19

wait....typo
x < 3
5 < 3 (no solution)

Answer 20

Alright I'll try to do this last one, I appreciated you taking your time to lend a hand you've been a great help

Answer 21

glad to help :)

Answer 22

(2,-2) x<3=2<3(is a solution)
y≥-4x : -2≥-4(2) : -2≥-8(not a solution)
y ≤2x-4 : -2≤2(2)-4: -2≤0-4=0 ( not a solution)
and y>2/3x-6 is not a solution so only 1 solution, I know you've helped a lot but i'd be thankful if you could check my answers when you got the time.

Answer 23

let me check one...
y > 2/3x - 6
-2 > 2/3(2) - 6
-2 > 4/3 - 6
-2 > 4/3 - 18/3
-2 > - 14/3
-2 > - 4 2/3 (this is a solution)

I agree with you on the rest of them