What are the correct steps to solve this inequality?%0D%0A%0D%0A25x−3≥17%0D%0A2%0D%0A5%0D%0A𝑥%0D%0A−%0D%0A3%0D%0A≥%0D%0A17%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AAdd 3, multiply by 25 , x≥50%0D%0A2%0D%0A5%0D%0A %0D%0A,%0D%0A %0D%0A𝑥%0D%0A≥%0D%0A50%0D%0A Add 3, multiply by 25 , x≥50%0D%0A2%0D%0A5%0D%0A %0D%0A,%0D%0A %0D%0A𝑥%0D%0A≥%0D%0A50%0D%0A%0D%0AAdd 3, multiply by 52 %0D%0A5%0D%0A2%0D%0A %0D%0A, flip the inequality sign x≤50%0D%0A𝑥%0D%0A≤%0D%0A50%0D%0A Add 3, multiply by 52 %0D%0A5%0D%0A2%0D%0A %0D%0A, flip the inequality sign x is less than or equal to 50%0D%0A%0D%0AAdd 3, multiply by 52 , x≥50%0D%0A5%0D%0A2%0D%0A %0D%0A,%0D%0A %0D%0A𝑥%0D%0A≥%0D%0A50%0D%0AAdd 3, multiply by 52 , x≥50%0D%0A5%0D%0A2%0D%0A %0D%0A,%0D%0A %0D%0A𝑥%0D%0A≥%0D%0A50%0D%0A%0D%0ASubtract 3, multiply by 25 , x≥50

Question

What are the correct steps to solve this inequality?%0D%0A%0D%0A25x−3≥17%0D%0A2%0D%0A5%0D%0A𝑥%0D%0A−%0D%0A3%0D%0A≥%0D%0A17%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AAdd 3, multiply by 25 , x≥50%0D%0A2%0D%0A5%0D%0A %0D%0A,%0D%0A %0D%0A𝑥%0D%0A≥%0D%0A50%0D%0A      Add 3, multiply by 25 , x≥50%0D%0A2%0D%0A5%0D%0A %0D%0A,%0D%0A %0D%0A𝑥%0D%0A≥%0D%0A50%0D%0A%0D%0AAdd 3, multiply by 52 %0D%0A5%0D%0A2%0D%0A %0D%0A, flip the inequality sign x≤50%0D%0A𝑥%0D%0A≤%0D%0A50%0D%0A      Add 3, multiply by 52 %0D%0A5%0D%0A2%0D%0A %0D%0A, flip the inequality sign x is less than or equal to 50%0D%0A%0D%0AAdd 3, multiply by 52 , x≥50%0D%0A5%0D%0A2%0D%0A %0D%0A,%0D%0A %0D%0A𝑥%0D%0A≥%0D%0A50%0D%0AAdd 3, multiply by 52 , x≥50%0D%0A5%0D%0A2%0D%0A %0D%0A,%0D%0A %0D%0A𝑥%0D%0A≥%0D%0A50%0D%0A%0D%0ASubtract 3, multiply by 25 , x≥50

GPT-4o mini · Answer

To solve the inequality $ 25x - 3 \geq 17 $, follow these steps: 1. **Add 3 to both sides:** $$ 25x - 3 + 3 \geq 17 + 3 $$ This simplifies to: $$ 25x \geq 20 $$ 2. **Divide both sides by 25:** $$ x \geq \frac{20}{25} $$ Simplifying $ \frac{20}{25} $ gives: $$ x \geq \frac{4}{5} $$ So the correct answer is $ x \geq \frac{4}{5} $. None of the provided responses correctly detail these steps; however, the steps involving addition to eliminate the constant and then division by the coefficient are typical for solving such inequalities. None of the answers provided were accurate based on standard practices for solving inequalities. As a summary, the correct steps would be: 1. Add 3 to both sides. 2. Divide by 25 (not multiply). 3. Write the final result as $ x \geq \frac{4}{5} $. If you have specific options you'd like to evaluate based on that solution process, please share those and I can assist you further!