Pregunta
1.2 Given the following linear inequality: \( -x \leq 2 \) 1.2.1 Solve the linear inequality.
Ask by Evans Stewart. in South Africa
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( x \geq -2 \)
Solución
Solve the equation \( -x \leq 2 \).
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(-x\leq 2\)
- step1: Change the signs:
\(x\geq -2\)
The solution to the linear inequality \( -x \leq 2 \) is \( x \geq -2 \).
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Simplifique esta solución Bonus Knowledge
To solve the linear inequality \( -x \leq 2 \), you can start by multiplying both sides by -1. Remember that when you multiply or divide an inequality by a negative number, you need to flip the inequality sign. Thus, the inequality transforms to \( x \geq -2 \). Therefore, the solution is \( x \geq -2 \). Now, let's paint the picture a bit more—this means that any number greater than or equal to -2 satisfies the inequality. So imagine a number line starting at -2 and moving positively to infinity; that's where you'll find all the solutions!
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