Question

Solve and graph the inequality 4x – 10 < 18.

Which of the following are true about the graph of the solution? Check all that apply.
The graph has an open circle at 2.
The graph has a closed circle at 2.
The graph has an open circle at 7.
The graph has a closed circle at 7.
The arrow points left.
The arrow points right.

Answer 1

9514 1404 393

Answer:

• The graph has an open circle at 7.
• The arrow points left.

Explanation:

Adding 10 and dividing by 4, we have ...

4x < 28

x < 7

The comparison does not include the "equal to" case, so the circle at x=7 is open. Values of x less than 7 are in the solution set. Those values are found to the left of 7 on the number line.

• The graph has an open circle at 7.
• The arrow points left.