https://file.aiquickdraw.com/mathbot/file/1727406001952ih7ue768.jpg

The problem in the image asks to solve the inequality:

\[
3x - 21 \geq 7x + 35
\]

Let's solve this step by step:

1. **Move all terms involving \(x\) to one side**:
   \[
   3x - 7x \geq 35 + 21
   \]
   Simplifying the terms:
   \[
   -4x \geq 56
   \]

2. **Solve for \(x\)**:
   Divide both sides by \(-4\), remembering to flip the inequality sign when dividing by a negative number:
   \[
   x \leq \frac{56}{-4}
   \]
   \[
   x \leq -14
   \]

So, the solution is \(x \leq -14\).

Would you like further explanation or details?

Here are 5 related questions to practice:
1. What is the result of solving \(4x + 10 \geq 8x - 20\)?
2. How do you solve an inequality with fractions, such as \(\frac{2x - 5}{3} \geq \frac{x + 2}{2}\)?
3. What happens to an inequality when both sides are multiplied or divided by a negative number?
4. Solve \(5x - 12 \leq 2x + 6\).
5. Can inequalities have more than one solution?

**Tip:** When solving inequalities, always remember to reverse the inequality sign when multiplying or dividing by a negative number.

Ditentukan 3x - 21 ≥ 7x + 35, maka nilai x adalah ....

Learn how to solve the inequality 3x - 21 ≥ 7x + 35 with step-by-step algebraic techniques. Suitable for students in Grades 8-10, this problem focuses on basic inequality manipulation and includes reversing the inequality sign when dividing by a negative number.

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