Solve Linear Inequalities Practice

Question

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Question
Solve the inequality 6x+1<5x−8
.(1 point)
x
Remaining Attempts : 3

Answer 1

To solve the inequality \(6x + 1 < 5x - 8\), we can follow these steps:

1. Isolate the variable: First, we want to get all the \(x\) terms on one side of the inequality. We can do this by subtracting \(5x\) from both sides:

   \[ 6x + 1 - 5x < 5x - 8 - 5x \] which simplifies to

   \[ x + 1 < -8 \]

2. Subtract 1 from both sides: Next, we'll isolate \(x\) by subtracting \(1\) from both sides:

   \[ x + 1 - 1 < -8 - 1 \] which simplifies to

   \[ x < -9 \]

Thus, the solution to the inequality \(6x + 1 < 5x - 8\) is:

\[ \boxed{x < -9} \]