https://file.aiquickdraw.com/mathbot/file/1725575793943v3rj04gg.jpg

The equation from the image is:

\[
50q + 43 > -11q + 70
\]

Let’s solve for \( q \):

1. Move all terms involving \( q \) to one side:
\[
50q + 11q > 70 - 43
\]
\[
61q > 27
\]

2. Solve for \( q \) by dividing both sides by 61:
\[
q > \frac{27}{61}
\]

Thus, the solution is:
\[
q > \frac{27}{61}
\]

Let me know if you'd like further details or clarification.

Here are five related questions:
1. How do you solve inequalities with variables on both sides?
2. How would the solution change if the inequality were reversed?
3. What happens if \( q \) appears with negative coefficients?
4. How can you graph this inequality on a number line?
5. How would the solution be different if it were an equation rather than an inequality?

**Tip:** Always check whether multiplying or dividing by a negative number flips the inequality!

Understand how to solve the linear inequality 50q + 43 > -11q + 70 with a clear step-by-step breakdown. Learn key algebraic concepts and rules for inequalities, suitable for students in Grades 8-10.

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