Write the solution to the inequality in set-builder notation.
9t − 4 > 32
(1 point)
Responses
{t | t > 4}
{t | t > 4}
{t | t > 6}
{t | t > 6}
{t | t > 28}
{t | t > 28}
{t | t > 36}
The solution to the inequality 9t - 4 > 32 in set-builder notation is {t | t > 4}.
To solve the inequality 9t - 4 > 32, we can start by isolating the variable t by adding 4 to both sides of the inequality:
9t - 4 + 4 > 32 + 4
This simplifies to:
9t > 36
Next, we can divide both sides of the inequality by 9:
(9t)/9 > 36/9
This gives us:
t > 4
So the solution to the inequality is:
{t | t > 4}