Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

solve this question 2|x + 3| <4

Sagot :

Marver1ck

Answer:

-5 < x < -1

Step-by-step explanation:

2|x + 3| < 4

Case 1: x + 3 ≥ 0

If x + 3 ≥ 0, then |x + 3| = x + 3.

Substituting this into the inequality, we have:

2(x + 3) < 4

2x + 6 < 4

2x < 4 - 6

2x < -2

x < -1

Case 2: x + 3 < 0

If x + 3 < 0, then |x + 3| = -(x + 3).

Substituting this into the inequality, we have:

2(-(x + 3)) < 4

-2x - 6 < 4

-2x < 4 + 6

-2x < 10

x > -5

So, the answer is -5 < x < -1

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.