To solve the inequality \( 25x - 3 \geq 17 \), follow these steps:
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Add 3 to both sides: \[ 25x - 3 + 3 \geq 17 + 3 \] This simplifies to: \[ 25x \geq 20 \]
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Divide both sides by 25 (not multiply; we divide here since 25 is positive, the inequality sign remains unchanged): \[ x \geq \frac{20}{25} \] Simplifying \(\frac{20}{25}\) gives: \[ x \geq \frac{4}{5} \quad (\text{or } 0.8) \]
Now let's review the options you provided:
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Add 3, multiply by 25 , x≥50 - Incorrect, since the operation after adding is dividing by 25.
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Add 3, multiply by 52, flip the inequality sign x≤50 - Incorrect, as there is no multiplication by 52 and the inequality does not flip.
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Add 3, multiply by 52, x≥50 - Incorrect for the same reason.
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Subtract 3, multiply by 25, x≥50 - Incorrect steps since we didn't subtract 3 and multiplication should not happen here.
Since none of the provided options accurately represent the steps needed to solve the original inequality, it seems like the correct process is to add 3 and then divide by 25 rather than any of the options listed.
If you have clarification or more options, I'd be happy to help analyze those too!