Question

Which graph represents the solution set for the inequality 1xs18?

O
O
O
O
01 2 3 4 5
6
7 8 9 10
0 6 12 18 24 30 36 42 48 54 60
0 1 2
+ + +
+
3
4
4 5 6 7 8 9 10
+
0 6 12 18 24 30 36 42 48 54 60
2
k

Answer 1

Answer: Graph D

The inequality solves to
`\text{x} \le 36`

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Step-by-step explanation:

The goal is to solve for x.

Multiply both sides by 2 to go from

`(1)/(2)\text{x} \le 18`

to

`\text{x} \le 36`

The inequality sign does not flip. It would only do so if you multiplied or divided both sides by a negative number.

The graph will have a closed filled in circle at 36, with shading to the left. This is to visually show the set of all x values that are 36 or smaller. The endpoint 36 is included in the solution set (an open hole would be used if you wanted to exclude it from the solution).

This describes Graph D