Multiplication and Division Inequalities — Quiz

Question 8 • Grade 7 Mathematics

Cecilia correctly solved this inequality. 3 x is greater than 102 x is greater than 34 Which graph matches the inequality?

Answer

Image with description A number line ranges from 28 to 40 by ones. An open circle is on 34. A ray is drawn from that circle pointing to the left.

Image with description A number line ranges from 28 to 40 by ones. An open circle is on 34. A ray is drawn from that circle pointing to the right.

Image with description A number line ranges from 96 to 108 by ones. An open circle is on 102. A ray is drawn from that circle pointing to the right.

Image with description A number line ranges from 96 to 108 by ones. An open circle is on 102. A ray is drawn from that circle pointing to the left.

Explanation

Divide both sides of 3x > 102 by 3, which gives x > 34. Because the inequality is strict, the graph has an open circle at 34; because x is greater than 34, the ray points to the right. So the matching graph is the one with an open circle at 34 and a ray pointing right.

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