QuestionAugust 24, 2025

What is the solution set for the open sentence with the given replacement set? 4y+2=18, 4,5,6,7 4 5 6 7

What is the solution set for the open sentence with the given replacement set? 4y+2=18, 4,5,6,7 4 5 6 7
What is the solution set for the open sentence with the given replacement set?
4y+2=18, 4,5,6,7 
4
5
6
7

Solution
4.1(319 votes)

Answer

\{4\} Explanation 1. Solve the equation for y Subtract 2 from both sides: 4y + 2 - 2 = 18 - 2 \Rightarrow 4y = 16. Divide by 4: y = \frac{16}{4} \Rightarrow y = 4. 2. Check the solution against the replacement set The solution y = 4 is in the replacement set \{4, 5, 6, 7\}.

Explanation

1. Solve the equation for $y$<br /> Subtract 2 from both sides: $4y + 2 - 2 = 18 - 2 \Rightarrow 4y = 16$.<br /> Divide by 4: $y = \frac{16}{4} \Rightarrow y = 4$.<br />2. Check the solution against the replacement set<br /> The solution $y = 4$ is in the replacement set $\{4, 5, 6, 7\}$.
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