Question

5 + 4x is greater than or equal to x + 8

Answer 1

To solve the inequality \(5 + 4x \geq x + 8\), we'll start by isolating \(x\).

1. Subtract \(x\) from both sides:
\[
5 + 4x - x \geq 8
\]
This simplifies to:
\[
5 + 3x \geq 8
\]

2. Next, subtract \(5\) from both sides:
\[
3x \geq 8 - 5
\]
Simplifying this gives:
\[
3x \geq 3
\]

3. Now, divide both sides by \(3\):
\[
x \geq 1
\]

Thus, the solution to the inequality \(5 + 4x \geq x + 8\) is:
\[
\boxed{x \geq 1}
\]