Question

Write the compound inequality for the graph shown below:


pic

Answer 1

The open circle means not equal to and it faces to the left, meaning less than. The solid circle means equal to, and it is pointing to the right, so it means greater than. writing this as a compound inequality would be:

-1 > x _>_ 5

negative one is greater than x, which is greater than or equal to five

Answer 2

x<-1 or x>=5

Explanation:

there is an open circle at -1

an open circle means it is not equal to

the line goes to the left which means x is less than

x < -1

there is a closed circle at 5

a closed circle means equal to

the line goes to the right which means x is greater than

x>= 5

the line looks like boat oars

so this is a compound inequality using or

x<-1 or x>=5