Let's solve the inequality:

\[
15t - 3 \geq 7
\]

### Step 1: Isolate the term with \( t \)
Add 3 to both sides:

\[
15t - 3 + 3 \geq 7 + 3
\]
\[
15t \geq 10
\]

### Step 2: Solve for \( t \)
Divide both sides by 15:

\[
t \geq \frac{10}{15}
\]
Simplify the fraction:

\[
t \geq \frac{2}{3}
\]

### Final answer:
\[
t \geq \frac{2}{3}
\]

Would you like more details or have any questions?

Here are 5 related questions you can explore:
1. How do we solve inequalities with fractions?
2. What happens when you multiply or divide an inequality by a negative number?
3. How do we graph the solution to an inequality on a number line?
4. Can an inequality have more than one solution?
5. What is the difference between solving an equation and an inequality?

**Tip:** Always reverse the inequality sign when multiplying or dividing by a negative number.

Learn how to solve the linear inequality 15t - 3 ≥ 7 with a step-by-step solution. This problem explores core algebraic concepts, including isolating variables and simplifying inequalities. Suitable for students in Grades 6-8.

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