Solving Two-Step Inequalities — Quiz

Question 10 • Grade 7 Mathematics

Which graph shows the solution set for negative 5 halves x minus 3 is less than or equal to 2 ?

Answer

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

Explanation

Add 3 to both sides to get −(5/2)x ≤ 5. Dividing by −5/2 reverses the inequality, so x ≥ −2. The graph therefore has a closed circle at −2 and a ray pointing right, which is choice B.

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