Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.