The solution to the inequality 4y+1>17 is y>4. Use set notation to

Question

express the values of y that make the inequality 4y+1>17 true

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Answer 1

To express the values of \( y \) that make the inequality \( 4y + 1 > 17 \) true in set notation, we first solve the inequality:

1. Subtract 1 from both sides: \[ 4y > 16 \]
2. Divide both sides by 4: \[ y > 4 \]

In set notation, the solution can be expressed as: \[ { y \in \mathbb{R} \mid y > 4 } \] or simply: \[ (4, \infty) \]

If you want to use the precise format with braces: \[ { y , | , y > 4 } \]

So, the answer in set notation is: \[ { y \mid y > 4 } \]