Pregunta
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\( x < -1 \)
Solución
Solve the equation \( -4>x-3 \).
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(-4>x-3\)
- step1: Swap the sides:
\(x-3<-4\)
- step2: Move the constant to the right side:
\(x<-4+3\)
- step3: Add the numbers:
\(x<-1\)
The solution to the inequality \( -4>x-3 \) is \( x<-1 \).
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Bonus Knowledge
To solve the inequality \( -4 > x - 3 \), start by isolating \( x \). You can add 3 to both sides of the inequality, which gives you \(-4 + 3 > x\), simplifying to \(-1 > x\) or in a more common format, \( x < -1 \). So, any value of \( x \) that is less than -1 will satisfy the inequality! It's always a good idea to check your solution! Pick a value less than -1, say -2. Substitute it back into the original inequality: \( -4 > -2 - 3 \), which simplifies to \( -4 > -5 \) – and that’s true! So, you're on the right track.
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