Question
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Solve the inequality \( 13 x-4<12 x-1 \) \[ \begin{array}{l}x>3 \\ x<5 \\ x<3 \\ x>5\end{array} \]

Ask by Reese Lewis. in the United States
Feb 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The solution is \( x < 3 \).

Solution

We start with the inequality:   13x – 4 < 12x – 1 Step 1: Subtract 12x from both sides to isolate x.   13x – 12x – 4 < 12x – 12x – 1   x – 4 < -1 Step 2: Add 4 to both sides to solve for x.   x – 4 + 4 < -1 + 4   x < 3 Thus, the solution is: x < 3. Comparing with the given options, the correct answer is: x < 3.

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Extra Insights

To solve the inequality \( 13x - 4 < 12x - 1 \), we'll start by isolating \( x \). 1. Subtract \( 12x \) from both sides: \[ 13x - 12x - 4 < -1 \] This simplifies to: \[ x - 4 < -1 \] 2. Now, add 4 to both sides: \[ x < 3 \] Thus, the solution to the inequality is \( x < 3 \). The correct answer from the options provided is \( x < 3 \).

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