To solve the inequality \( 8x + 4 \geq 52 \), we can start by isolating \( x \).
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Subtract \( 4 \) from both sides: \[ 8x \geq 52 - 4 \] \[ 8x \geq 48 \]
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Next, divide both sides by \( 8 \): \[ x \geq \frac{48}{8} \] \[ x \geq 6 \]
So the solution to the inequality \( 8x + 4 \geq 52 \) is \( x \geq 6 \).
From the given options:
- \( x \geq 2.5 \) (too low)
- \( x \geq 6 \) (correct)
- \( x \geq 7 \) (also correct but is not the minimum)
- \( x \geq 11 \) (too high)
The correct answer is: \( x \geq 6 \).