https://file.aiquickdraw.com/mathbot/file/1729088279786hy4d4ozi.jpg

The problem in the image can be read as follows:

"Diketahui bentuk pertidaksamaan 7a - 4 ≥ 4a + 17, maka nilai a adalah..."

This translates to:

"Given the inequality 7a - 4 ≥ 4a + 17, find the value of a..."

### Solution:

We are solving the inequality:

\[
7a - 4 \geq 4a + 17
\]

1. First, subtract \(4a\) from both sides to get the terms with \(a\) on one side:

\[
7a - 4a - 4 \geq 17
\]

This simplifies to:

\[
3a - 4 \geq 17
\]

2. Now, add 4 to both sides to isolate the \(a\)-term:

\[
3a \geq 17 + 4
\]

\[
3a \geq 21
\]

3. Finally, divide both sides by 3:

\[
a \geq \frac{21}{3}
\]

\[
a \geq 7
\]

### Conclusion:

The value of \(a\) is \(a \geq 7\).

---

Do you have any questions, or would you like a more detailed explanation? 

Here are some related questions you could explore:

1. How do you solve other inequalities that involve fractions?
2. What is the difference between solving inequalities and equations?
3. How would the solution change if the inequality was reversed?
4. Can you explain when to flip the inequality sign when solving?
5. How do you graph the solution \(a \geq 7\) on a number line?

**Tip:** Always remember to flip the inequality sign when multiplying or dividing by a negative number!

Diketahui bentuk pertidaksamaan 7a - 4 ≥ 4a + 17, maka nilai a adalah...

Learn how to solve the linear inequality 7a - 4 ≥ 4a + 17 with a step-by-step guide. This problem focuses on algebraic manipulation, solving inequalities, and isolating the variable. Suitable for students in Grades 8-10.

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