Question

which is the solution set of $7y + 1 > 8y - 9$?\
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a) $\\{y\mid y < -10\\}$\
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b) $\\{y\mid y < 10\\}$\
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c) $\\{y\mid y > 10\\}$\
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d) $\\{y\mid y > -10\\}$

Explanation:

Step1: Subtract \(7y\) from both sides

To isolate the variable terms, we subtract \(7y\) from each side of the inequality \(7y + 1>8y - 9\). This gives us \(1>y - 9\).

Step2: Add 9 to both sides

Next, we add 9 to both sides of the inequality \(1>y - 9\) to solve for \(y\). So, \(1 + 9>y\), which simplifies to \(10>y\) or \(y < 10\).

Answer:

B) \(\{y|y < 10\}\)