Question
1 is greater than or equal to -4v + 13
Answers
Answered by
GPT-4o mini
To solve the inequality \(1 \geq -4v + 13\), we can isolate \(v\) by following these steps:
1. Subtract 13 from both sides:
\[
1 - 13 \geq -4v
\]
\[
-12 \geq -4v
\]
2. Now, divide both sides by -4. Remember that when you divide or multiply both sides of an inequality by a negative number, you need to reverse the inequality sign:
\[
\frac{-12}{-4} \leq v
\]
\[
3 \leq v
\]
This can also be written as:
\[
v \geq 3
\]
So the solution to the inequality is \(v \geq 3\).
1. Subtract 13 from both sides:
\[
1 - 13 \geq -4v
\]
\[
-12 \geq -4v
\]
2. Now, divide both sides by -4. Remember that when you divide or multiply both sides of an inequality by a negative number, you need to reverse the inequality sign:
\[
\frac{-12}{-4} \leq v
\]
\[
3 \leq v
\]
This can also be written as:
\[
v \geq 3
\]
So the solution to the inequality is \(v \geq 3\).