Question

Write a compound inequality for the graph shown below.Use x for your variable.++-10-9-8-7 -6 -5 4-3-2-1002 3 4 5 6 7 8 9 10 xDand口口>DorOSONO?X

Answer 1

The question said we should write a compound inequality of the given graph.

We are also asked to use x as the variable.

From the graph, we can see that both end values are shaded dots, which means x is inclusive of those two values.

Since:

x ≥ -5

and

x ≤ 6

Therefore, the compound inequality of the given graph is:

-5 ≤ x ≤ 6.