Multiplication and Division Inequalities — Quiz

Question 2 • Grade 7 Mathematics

Max correctly solved this inequality. A over negative 5 is greater than or equal to 10 A is less than or equal to negative 50 Which graph matches the inequality?

Answer

Image with description A number line ranges from negative 55 to negative 45 by ones. A closed circle is on negative 50. A ray is drawn from that circle pointing to the left.

Image with description A number line ranges from negative 55 to negative 45 by ones. A closed circle is on negative 50. A ray is drawn from that circle pointing to the right.

Image with description A number line ranges from negative 55 to negative 45 by ones. An open circle is on negative 50. A ray is drawn from that circle pointing to the left.

Image with description A number line ranges from negative 55 to negative 45 by ones. An open circle is on negative 50. A ray is drawn from that circle pointing to the right.

Explanation

Starting with A ÷ (−5) ≥ 10, multiply both sides by −5. Because you multiply by a negative number, reverse the inequality sign, giving A ≤ −50. The graph needs a closed circle at −50 and a ray pointing left, which is choice A.

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