James is playing a dice game. He is rolling two 6-sided dice. To win, the two dice must sum to a number greater than 7. What is the probability that he will win?

9/20

Step-by-step explanation:

4+4=8, 4+5=9, 4+6=10, 5+5=10, 5+6=11, and 6+6=12 are the nine possible roll combinations that have a sum greater than 7 out of the possible 20 different combinations. This makes the probability of rolling a sum greater than 7 a nine in twenty chance.

x<2

Step-by-step explanation:

To solve the inequality, use the distributive property to simplify the parenthesis. Then use inverse operations to isolate x.

-6(4-x)< -4(x+1)

-24+6x<-4x-4

-24+4+6x<-4x

-20+6x<-4x

-20<-4x-6x

-20<-10x

2>x or x<2