Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Solve the following inequality for [tex]$v$[/tex]. Write your answer in simplest form.

[tex]\[ 9v - 8 \geq 8v + 2 \][/tex]

Sagot :

GinnyAnswer
Sure, I'd be happy to help!

Let's start with the given inequality:

[tex]\[ 9v - 8 \geq 8v + 2 \][/tex]

Step 1: Subtract [tex]\(8v\)[/tex] from both sides to isolate terms involving [tex]\(v\)[/tex] on one side of the inequality:

[tex]\[ 9v - 8 - 8v \geq 8v + 2 - 8v \][/tex]

This simplifies to:

[tex]\[ v - 8 \geq 2 \][/tex]

Step 2: Add 8 to both sides to isolate [tex]\(v\)[/tex]:

[tex]\[ v - 8 + 8 \geq 2 + 8 \][/tex]

This simplifies to:

[tex]\[ v \geq 10 \][/tex]

So, the solution to the inequality [tex]\( 9v - 8 \geq 8v + 2 \)[/tex] is:

[tex]\[ v \geq 10 \][/tex]

Therefore, the inequality holds true for all values of [tex]\(v\)[/tex] that are greater than or equal to 10.
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.