12
QuizMultiple Choice

Solving Two-Step Inequalities

Question 12 • SC-Mathematics 6

Look at the two equations:-3x + 6 = 21-3x + 6 < 21Which statement best describes the process used to solve the equations?

Answer
A
In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
B
In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality.
C
The process is exactly the same for solving the equation and solving the inequality.
D
The process for solving the equation is entirely different from solving the inequality.

Explanation

First subtract 6 from both sides in each problem, giving −3x = 15 and −3x < 15. Then divide both sides by −3; because this is division by a negative number, reverse the inequality sign. The equation gives x = −5, while the inequality gives x > −5, so choice B best describes the key difference.

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