Pregunta
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
Solución de inteligencia artificial de Upstudy
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The solution is \( x < 3 \).
Solución
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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Simplifique esta solución 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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