To express the values of \( y \) that make the inequality \( 4y + 1 > 17 \) true in set notation, we first solve the inequality:
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Subtract 1 from both sides: \[ 4y > 16 \]
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Divide both sides by 4: \[ y > 4 \]
In set notation, the solution can be expressed as: \[ { y \in \mathbb{R} \mid y > 4 } \] Alternatively, it can also be represented as the interval: \[ (4, \infty) \]