Pregunta
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Respuesta verificada por el tutor
Responder
\( x < 7 \)
Solución
1. Start with the inequality:
\[
-3x + 1 > 4(x - 12)
\]
2. Distribute the \(4\) on the right-hand side:
\[
-3x + 1 > 4x - 48
\]
3. Add \(3x\) to both sides to combine like terms:
\[
1 > 7x - 48
\]
4. Add \(48\) to both sides to isolate the term with \(x\):
\[
49 > 7x
\]
5. Divide both sides by \(7\) to solve for \(x\):
\[
7 > x
\]
which can be written as:
\[
x < 7
\]
The solution to the inequality is:
\[
x < 7
\]
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Bonus Knowledge
To solve the inequality \(-3x + 1 > 4(x - 12)\), first, we distribute the 4 on the right side: \[ -3x + 1 > 4x - 48 \] Next, combine like terms by adding \(3x\) to both sides: \[ 1 > 7x - 48 \] Now, add 48 to both sides: \[ 49 > 7x \] To isolate \(x\), divide both sides by 7: \[ 7 > x \quad \text{or} \quad x < 7 \] Thus, the solution to the inequality is: \[ x < 7 \]
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