Evans Ward
03/23/2023 · Senior High School
SOLUCIONAR LAS SIGUIEN \( \begin{array}{l}7 x+20-12 x \geq 30 x+25\end{array} \)
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Step-by-step Solution
Solve the equation \( 7x+20-12x \geq 30x+25 \).
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(7x+20-12x\geq 30x+25\)
- step1: Subtract the terms:
\(-5x+20\geq 30x+25\)
- step2: Move the variable to the left side:
\(-5x+20-30x\geq 25\)
- step3: Subtract the terms:
\(-35x+20\geq 25\)
- step4: Move the constant to the right side:
\(-35x\geq 25-20\)
- step5: Subtract the numbers:
\(-35x\geq 5\)
- step6: Change the signs:
\(35x\leq -5\)
- step7: Divide both sides:
\(\frac{35x}{35}\leq \frac{-5}{35}\)
- step8: Divide the numbers:
\(x\leq -\frac{1}{7}\)
La solución de la desigualdad \(7x+20-12x \geq 30x+25\) es \(x \leq -\frac{1}{7}\).
Quick Answer
La solución es \(x \leq -\frac{1}{7}\).
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