Question

32. Use Structure Write an inequality that

represents the graph.
MP.7
++
+
-5 -4 -3 -2 -1 0 1 2 3 4 5

Answer 1

We can express the inequalities as follows; x ≤ -1 and x ≥ 3.

To represent the inequalities on the graph, we first have to identify the type of circle depicted. The type of circle in this instance is a closed one, so we include the equal or greater than/less than sign. So, in the first instance, we assign a variable and point.

The arrow moving left indicates less than so we have x ≤ -1. For the side with the arrow going forward, we would have x ≥ 3. With this understanding of inequalities, we can write a representation of the graph as x ≤ -1 and x ≥ 3.