1. yes
2x-y >10
if x=7 and y=2
2(7)-2>10
14-2>10
12>10
2.yes
x+3y≤8
if x=4 and y=-1
4+3(-1)≤8
4-3≤8
1≤8
3. No
y<4x-5
if x=0 and y=0
0<4(0)-5
0<0-5
0<-5
4. No
7x-2y≥6
if x=-3 and y=-8
7(-3)-2(-8)≥6
-21+16≥6
-5≥6
5. No
16-y>x
if x=-1 and y=9
16-9>-1
7>-1
6. No
-3x+y<-12
if x=0 and y=-5
-3(0)+(-5)<-12
0+(-5)<-12
-5<-12
7. Yes
9+x≥y
if x=-6 and y=3
9+(-6)≥3
3≥3
8. Yes
2y-2x≤14
if x=-3 and y=-3
2(-3)-2(-3)≤14
-6-(-6)≤14
0≤14
9. Yes
12x+y>5
if x=4 and y=12
12(4)+12>5
48+12>5
60>5
10. No
x+23y<2
if x=15 and y=1
15+23(1)<2
15+23<2
38<2
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Answers & Comments
1. yes
2x-y >10
if x=7 and y=2
2(7)-2>10
14-2>10
12>10
2.yes
x+3y≤8
if x=4 and y=-1
4+3(-1)≤8
4-3≤8
1≤8
3. No
y<4x-5
if x=0 and y=0
0<4(0)-5
0<0-5
0<-5
4. No
7x-2y≥6
if x=-3 and y=-8
7(-3)-2(-8)≥6
-21+16≥6
-5≥6
5. No
16-y>x
if x=-1 and y=9
16-9>-1
7>-1
6. No
-3x+y<-12
if x=0 and y=-5
-3(0)+(-5)<-12
0+(-5)<-12
-5<-12
7. Yes
9+x≥y
if x=-6 and y=3
9+(-6)≥3
3≥3
8. Yes
2y-2x≤14
if x=-3 and y=-3
2(-3)-2(-3)≤14
-6-(-6)≤14
0≤14
9. Yes
12x+y>5
if x=4 and y=12
12(4)+12>5
48+12>5
60>5
10. No
x+23y<2
if x=15 and y=1
15+23(1)<2
15+23<2
38<2