Practice Exam

Question 5 • Mathematics I

Which number line represents the solution set for the inequality 3 x is less than negative 9 ?

Answer

Image with description A number line from negative 4 to positive 4 in increments of 1. An open point is at negative 3 and a bold line starts at negative 3 and is pointing to the left.

Image with description A number line from negative 4 to positive 4 in increments of 1. A solid point is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Image with description A number line from negative 4 to positive 4 in increments of 1. An open point is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Image with description A number line from negative 4 to positive 4 in increments of 1. A solid point is at negative 3 and a bold line starts at negative 3 and is pointing to the left.

Explanation

Divide both sides of 3x < −9 by 3. Since 3 is positive, the inequality sign stays the same, giving x < −3. The solution is shown by an open point at −3 and a line extending to the left, which is choice A.

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