Question
how to solve 4(n-2)-6> greater than or equal to sign 18
Answers
GPT-4o mini
To solve the inequality \( 4(n - 2) - 6 \geq 18 \), follow these steps:
1. Distribute the \( 4 \) in the expression:
\[
4n - 8 - 6 \geq 18
\]
2. Combine like terms:
\[
4n - 14 \geq 18
\]
3. Add \( 14 \) to both sides of the inequality:
\[
4n \geq 32
\]
4. Divide both sides by \( 4 \):
\[
n \geq 8
\]
So the solution to the inequality is:
\[
n \geq 8
\]
This means that \( n \) can be any number that is greater than or equal to \( 8 \).
1. Distribute the \( 4 \) in the expression:
\[
4n - 8 - 6 \geq 18
\]
2. Combine like terms:
\[
4n - 14 \geq 18
\]
3. Add \( 14 \) to both sides of the inequality:
\[
4n \geq 32
\]
4. Divide both sides by \( 4 \):
\[
n \geq 8
\]
So the solution to the inequality is:
\[
n \geq 8
\]
This means that \( n \) can be any number that is greater than or equal to \( 8 \).