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 greater than 3 right brace

{b:b>15}
left brace b colon b greater than 15 right brace

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

{b:b<15}

1 answer

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

\[ {b : b > 3} \]

So the response you are looking for is:

{b:b>3}