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.
