Question

How do you determine when to use addition or subtraction when solving an absolute value inequality using a graph?

Answer 1

Example:

Answer 2

I thought distance was always supposed to be negative, but some of the answers to my questions use a positive.

Answer 3

no distance is always positive

Answer 4

The answers use negatives.

Answer 5

because we are talking about absolute values .... we usually get 2 answers one is positive and one is negative..

Answer 6

@DecentNabeel wat do u think..?

Answer 7

distance is always a positive unit of measure between 2 points

Answer 8

for absolute .... example |x+3|=5
then (x+3)=+5 and (x+3)=-5

Answer 9

one approach to doing absolute value problems is to split in 2 the positive and the negative solve each then find the combined solution

Answer 10

I'm not solving an actual absolute value inequality, I am trying to write absolute value inequalities using a graph.

Answer 11

read again slowly

Answer 12

solve each and put the results on the same graph to see the final solution

Answer 13

There is nothing to solve. I already have the graphs, and am working backwards to find the inequality.

Answer 14

look at number 25

Answer 15

x > -12 and x< -6

Answer 16

\[\text{ assume } a \text{ is positive } \\ |x-c| \le a \text{ means we are shading the interval }[ c-a , c+a] \\ |x-c| \ge a \text{ means we are shading everything outside the interval } (c-a,c+a)\]