Select the graph of the solution set that would represent the following expression. | x | > 5

It would be the first graph because |x| >5 is solved in two cases

The first case you keep everything the same, just get rid of the absolute value bars

x>5

The second case, you need to switch the sign and make the 5 negative

x<-5

When graphing you want to put an open circle on -5, and 5 because when it is < or > you have an open circle,

You then point the arrows going which ever way your sign is going, this is why the -5 is going to the left because the < sign is pointing left, and same with the 5, the arrow is going right because the > sign is pointing right

Hope this helps ;)

thus, the first answer choice, y = sec x, is the correct one