Practice Test

Question 10 • Grade 7 Mathematics

Solve the following inequality. 6.3⁢r<−45.36 Which graph shows the correct solution?

Answer

Image with description A number line ranges from negative 77 to negative 67 by ones. An open circle is on negative 72. A ray is drawn from that circle pointing to the left.

Image with description A number line ranges from negative 7 point 7 to negative 6 point 8 by one tenths. An open circle is on negative 7 point 2. A ray is drawn from that circle pointing to the right.

Image with description A number line ranges from negative 77 to negative 67 by ones. An open circle is on negative 72. A ray is drawn from that circle pointing right.

Image with description A number line ranges from negative 7 point 7 to negative 6 point 8 by one tenths. An open circle is on negative 7 point 2. A ray is drawn from that circle pointing to the left.

Explanation

Divide both sides of 6.3r < −45.36 by 6.3. Since 6.3 is positive, the inequality sign stays the same, giving r < −7.2. The graph needs an open circle at −7.2 and a ray pointing left, which is choice D.

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