If -2x < 6, after dividing by -2, which inequality is correct?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Master the Praxis Mathematics (5165) Test. Enhance your skills with flashcards and practice questions, each with detailed explanations. Ace your exam confidently!

Multiple Choice

If -2x < 6, after dividing by -2, which inequality is correct?

Explanation:
Dividing by a negative number reverses the inequality sign. Starting with -2x < 6, divide both sides by -2 to get x > -3. The left side simplifies to x and the right side to -3, and since the original inequality is strict, -3 is not included. A quick check: if x = -2 (which is greater than -3), then -2x = 4 and 4 < 6 holds; if x = -4 (not greater than -3), -2x = 8 and 8 < 6 fails. So the solution is x > -3.

Dividing by a negative number reverses the inequality sign. Starting with -2x < 6, divide both sides by -2 to get x > -3. The left side simplifies to x and the right side to -3, and since the original inequality is strict, -3 is not included. A quick check: if x = -2 (which is greater than -3), then -2x = 4 and 4 < 6 holds; if x = -4 (not greater than -3), -2x = 8 and 8 < 6 fails. So the solution is x > -3.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy