Question

Solve each absolute value inequality. Graph the solution set. Write the solution in INTERVAL NOTATION.
|3x+4|<8

Answer 1

hint : if |f(x)| < a then
-a < f(x) < a

Answer 2

why is there 2 signs when u start out with one. how do u do tht

Answer 3

nopes... just standard solution for inequality absolut
|3x+4|<8
-8 < 3x+4 < 8
substracted 4 for all sides (left, middle, and right side)
-8-4 < 3x+4-4 < 8-4
-12 < 3x < 4
divided by 3 all sides
-12/3 < 3x/3 < 4/3
-4 < x < 4/3

Answer 4

so on the 1st step u take the opposite of the # not on the same side as the variable and put tht on the other side of the line and put the sign there 2?

Answer 5

yes..
but if ur question is |f(x)| > a, then
take f(x) < -a or f(x) > a

Answer 6

ok so i got x<4/3 andx<-4