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\( q \leq 8 \)
Solución
Solve the equation \( 6q-8 \leq 8+4q \).
Solve the inequality by following steps:
- step0: Solve for \(q\):
\(6q-8\leq 8+4q\)
- step1: Move the expression to the left side:
\(6q-4q\leq 8+8\)
- step2: Add and subtract:
\(2q\leq 8+8\)
- step3: Add and subtract:
\(2q\leq 16\)
- step4: Divide both sides:
\(\frac{2q}{2}\leq \frac{16}{2}\)
- step5: Divide the numbers:
\(q\leq 8\)
The solution to the inequality \(6q-8 \leq 8+4q\) is \(q \leq 8\).
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Simplifique esta solución Bonus Knowledge
To solve the inequality \( 6q - 8 \leq 8 + 4q \), we start by isolating \( q \) on one side. First, let's move \( 4q \) to the left side by subtracting \( 4q \) from both sides: \[ 6q - 4q - 8 \leq 8 \] This simplifies to: \[ 2q - 8 \leq 8 \] Next, we add \( 8 \) to both sides to further isolate \( q \): \[ 2q \leq 16 \] Now, divide both sides by \( 2 \): \[ q \leq 8 \] Thus, the solution to the inequality is: \[ q \leq 8 \]
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