Question

find the solution set of this inequality

l 7x+21 l <-7

Answer 1

Since |7x+21| is always greater than or equal to zero, how can it be less than -7?

Answer 2

how does the graph look

Answer 3

line graph

Answer 4

The solution set is empty; the line graph would be empty.

Answer 5

i love you

Answer 6

lol

Answer 7

l 3x + 3 l > -9

Answer 8

This is a different story. Since abs. value is always ge 0, the solution set is all real numbers. The line graph would be the entire number line shaded.

Answer 9

l -8x-16 l > 8

Answer 10

l -8x-16 l > 8
apply definition of abs value to get
-8>-8x-16>8
multiply by -1
8<8x+16<-8
subtract 16
-8<8x<-24
divide by 8
-1<x<-3
write as a union
x<-3 or x>-1
sketch graph