Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

What is the solution of the inequality?

[tex]\[ 2(m+3) \ \textless \ -5 + 3m \][/tex]

A. [tex]\( m \ \textgreater \ 2 \)[/tex]

B. [tex]\( m \ \textless \ 11 \)[/tex]

C. [tex]\( m \ \textless \ -8 \)[/tex]

D. [tex]\( m \ \textgreater \ 11 \)[/tex]

Sagot :

GinnyAnswer
Let's solve the inequality step-by-step:

We are given the inequality:
[tex]\[ 2(m + 3) < -5 + 3m \][/tex]

First, distribute the 2 on the left side:
[tex]\[ 2m + 6 < -5 + 3m \][/tex]

Next, we want to get all terms involving [tex]\(m\)[/tex] on one side and constants on the other side. Let's subtract [tex]\(2m\)[/tex] from both sides:
[tex]\[ 6 < -5 + m \][/tex]

Now, add 5 to both sides to isolate [tex]\(m\)[/tex]:
[tex]\[ 11 < m \][/tex]

So, the solution to the inequality is:
[tex]\[ m > 11 \][/tex]

Given your choices, the correct answer is:
[tex]\[ m > 11 \][/tex]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.