SOLUTION: Solve each inequality. -2(h+2)<-14 3s+16>6+4s 2-3m<4+5m

Question 358334: Solve each inequality. -2(h+2)<-14
3s+16>6+4s
2-3m<4+5m

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
-2(h+2)<-14
-2h-4<-14
-2h<-14+4
-2h<-10
h>-10/-2 [note the sign change when dividing by a negative value.]
h>5 ans.
Proof:
Let h=5.1
-2(5.1+2)<-14
-2*7.1<-14
-14.2<-14
3s+16>6+4s
3s-4s>6-16
-s>-10
s<-10/-1
s<10 ans.
Proof:
Let s=9.9
3*9.9+16>6+4*9.9
29.7+16>6+39.6
45.7>45.6
2-3m<4+5m
-3m-5m<4-2
-8m<2
m>2/-8
m>-1/4=-.25 ans.
Proof:
Let m=-.24
2-3*-.24<4+5*-.24
2*+.72<4-1.2
2.72<2.8
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