Question

Select the inequality that corresponds to the given graph.

|2x - 4| > 2

|4x + 2| > 10

|4x - 6| <= 14

|6x + 4| <= 16

Answer 1

since you have two intervals, you can be sure it is one of the first two inequalities rather than the last two .
is it clear why?

Answer 2

if you have the absolute value greater than something, you get two inequalities
so lets solve the first two and see which it is

Answer 3

\[|2x - 4| > 2 \]
\[2x-4<-2\] or
\[2x-4>2\]
\[2x-4<-2\iff 2x<2\iff x<1\]
\[2x-4>2\iff 2x>6\iff x>3\]

Answer 4

looks like we got it on the first try

Answer 5

oh wow this was a really good explanation. thank you!