Question

1 poin
The smallest integer a satisfying the inequality ​

Answer 1

Answer:

The answer is 8. To solve an inequality, you follow the same general rules as you would for solving a linear equation. The crucial thing to watch out for is when multiplying or dividing by a negative number.

x+8<4x-15

-3x<-23

x>23/3 which is between 7 and 8. When you substitute 7 back into the original inequality you get 15<13 which is false. When you substitute 8 back into the original inequality you get 16<17 which is a true statement. In fact any integer greater than 8 will be part of the solution set, but 8 is the smallest.