Addition and Subtraction Inequalities — Quiz

Question 7 • Grade 7 Mathematics

Which number line shows the solution to the inequality? y minus 2 is less than negative 5

Answer

Image with description A number line ranges from negative 8 to 2 by ones. An open circle is on negative 3. A ray is drawn from that circle pointing to the right.

Image with description A number line ranges from negative 8 to 2 by ones. A closed circle is on negative 3. A ray is drawn from that circle pointig to the left.

Image with description A number line ranges from negative 8 to 2 by ones. An open circle is on negative 3. A ray is drawn from that circle pointing to the left.

Image with description A number line ranges from negative 8 to 2 by ones. An open circle is on negative 7. A ray is drawn from that circle pointing to the left.

Explanation

Add 2 to both sides of y − 2 < −5 to get y < −3. The solution includes all numbers less than −3, but not −3 itself, so the graph needs an open circle at −3 with a ray pointing left. That is choice C.

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