7
QuizMultiple Choice

Solving Two-Step Inequalities — Quiz

Question 7 • Grade 7 Mathematics

Which graph shows the solution set for negative 4 point 4 is greater than or equal to 1 point 6 x minus 3 point 6 ?

Answer
A
Image with description A number line ranges from negative 3 to 3 by one halves. Only integers are labeled. A closed circle is on the first tick mark to the right of negative 1. A ray is drawn from that circle pointing to the left.
B
Image with description A number line ranges from negative 3 to 3 by one halves. Only integers are labeled. A closed circle is on the first tick mark to the right of negative 1. A ray is drawn from that circle pointing to the right.
C
Image with description A number line ranges from negative 7 to negative 1 by one halves. Only integers are labeled. A closed circle is on negative 5. A ray is drawn from that circle pointing to the right.
D
Image with description A number line ranges from negative 7 to negative 1 by one halves. Only integers are labeled. A closed circle is on negative 5. A ray is drawn from that circle pointing to the left.

Explanation

Add 3.6 to both sides: −0.8 ≥ 1.6x. Divide by the positive number 1.6, so the inequality direction stays the same: −0.5 ≥ x, or x ≤ −0.5. The solution is shown by a closed circle at −0.5 and a ray pointing left, which is choice A.

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