Write the solution to the inequality in set builder notation.

9t - 4 > 32

My answer is (t I t > 4)

thank you

Your answer is correct just make sure you put "{}" instead of parentheses

To solve the inequality 9t - 4 > 32, we need to isolate the variable t.

First, let's add 4 to both sides of the inequality to get:

9t - 4 + 4 > 32 + 4

This simplifies to:

9t > 36

Then, we can divide both sides of the inequality by 9 to solve for t:

9t/9 > 36/9

t > 4

Therefore, the solution to the inequality in set builder notation is {t | t > 4}.

To find the solution to the inequality 9t - 4 > 32 in set builder notation, you need to isolate the variable "t" on one side of the inequality sign. Here's how to solve it step by step:

1. Start with the original inequality: 9t - 4 > 32.
2. Add 4 to both sides of the inequality to isolate the term with "t": 9t - 4 + 4 > 32 + 4.
Simplifying, we get 9t > 36.
3. Divide both sides of the inequality by 9 to solve for "t": (9t)/9 > 36/9.
Simplifying further, we have t > 4.

Therefore, the solution to the inequality is t > 4.

Now, let's write this solution in set-builder notation. In set-builder notation, we specify the set of values that satisfy the given condition. Here's how it can be expressed:

{ t | t > 4 }

This notation reads as "the set of all t such that t is greater than 4".