Solve Linear Inequalities Practice

Question

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Question
Solve the inequality 6x+1<5x−8
.(1 point)
x
Incorrect

Answer 1

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

1. Subtract \(5x\) from both sides to get all terms involving \(x\) on one side: \[ 6x - 5x + 1 < -8 \] This simplifies to: \[ x + 1 < -8 \]

2. Subtract 1 from both sides to isolate \(x\): \[ x < -8 - 1 \] This simplifies to: \[ x < -9 \]

Thus, the solution to the inequality \(6x + 1 < 5x - 8\) is: \[ \boxed{x < -9} \]