Multiplication and Division Inequalities — Quiz

Question 7 • Grade 7 Mathematics

Solve the following inequality. negative 3 point 5 5 g is less than or equal to negative 28 point 4 Which graph shows the correct solution?

Answer

Image with description A number line ranges from 3 to 13 by ones. An open circle is on 8. A ray is drawn from that circle pointing to the right.

Image with description A number line ranges from 3 to 13 by ones. A closed circle is on 8. A ray is drawn from that circle pointing to the left.

Image with description A number line ranges from 3 to 13 by ones. A closed circle is on 8. A ray is drawn from that circle pointing to the right.

Image with description A number line ranges from 3 to 13 by ones. An open circle is on 8. A ray is drawn from that circle pointing to the left.

Explanation

Divide both sides of −3.55g ≤ −28.4 by −3.55. Because you divide by a negative number, reverse the inequality sign: g ≥ (−28.4)/(−3.55) = 8. The solution includes 8 and all numbers greater than 8, so the graph has a closed circle at 8 and a ray pointing right: choice C.

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