The solution set of the inequality 3(b−4)+2b>3 is the set of values of b greater than three. Which set notation correctly expresses the solutions?(1 point)

Responses

{b:b<3}
left brace b colon b less than 3 right brace

{b:b>3}
left brace b colon b greater than 3 right brace

{b:b<15}
left brace b colon b less than 15 right brace

{b:b>15}

1 answer

The correct set notation that expresses the solutions for the inequality \(3(b-4)+2b>3\), which simplifies to the set of values of \(b\) greater than 3, is:

\({b : b > 3}\)

So the correct response is:

{b:b>3}
left brace b colon b greater than 3 right brace