5
QuizMultiple Choice

Multiplication and Division Inequalities — Quiz

Question 5 • Grade 7 Mathematics

Solve the following inequality. negative 1 half p is less than negative 16 Which graph shows the correct solution?

Answer
A
Image with description A number line ranges from 27 to 37 by ones. An open circle is on 32. A ray is drawn from that circle pointing to the right.
B
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.
C
Image with description A number line ranges from 27 to 37 by ones. An open circle is on 32. A ray is drawn from that circle pointing to the left.
D
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.

Explanation

Divide both sides of −½p < −16 by −½. Because this divisor is negative, reverse the inequality sign: p > 32. The solution is shown by an open circle at 32 (since 32 is not included) and a ray pointing right, so the correct graph is A.

AI-written and checked against the verified answer.

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