46
QuizMultiple Choice

N/A — Exam

Question 46 • Mathematics II

What are the steps to solving the inequality the fraction with numerator g plus 2 and denominator negative 3 is less than negative 2 ?

Answer
A
Subtract 2 from both sides of the inequality. Change the direction of the inequality. Multiply both sides of the inequality by negative 3 .
B
Multiply both sides of the inequality by negative 3 . Change the direction of the inequality. Subtract 2 from both sides of the inequality.
C
Multiply both sides of the inequality by negative 3 . Subtract 2 from both sides of the inequality.
D
Subtract 2 from both sides of the inequality. Multiply both sides of the inequality by negative 3 .

Explanation

Start with (g + 2)/(-3) < -2. Multiply both sides by -3; because -3 is negative, reverse the inequality to get g + 2 > 6. Then subtract 2 from both sides, giving g > 4. These steps match “Multiply both sides by negative 3, change the direction of the inequality, then subtract 2.”

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