What are the correct steps to solve this inequality? 25x−3≥17 (1 point) Responses Add 3, multiply by 25 , x≥50 Add 3, multiply by 25 , x≥50 Add 3, multiply by 52 , flip the inequality sign x≤50 Add 3, multiply by 52 , flip the inequality sign x is less than or equal to 50 Add 3, multiply by 52 , x≥50 Add 3, multiply by 52 , x≥50 Subtract 3, multiply by 25 , x≥50

Question

GPT-4o mini · Answer

To solve the inequality $ 25x - 3 \geq 17 $, follow these steps: 1. **Add 3 to both sides** to eliminate the constant on the left: $$ 25x - 3 + 3 \geq 17 + 3 $$ This simplifies to: $$ 25x \geq 20 $$ 2. **Divide both sides by 25** to isolate $ x $: $$ x \geq \frac{20}{25} $$ This simplifies to: $$ x \geq \frac{4}{5} $$ So, the correct final answer for the inequality is: $$ x \geq \frac{4}{5} $$ From your options, the steps that would lead to the correct answer would involve "Add 3," followed by "divide by 25," which correctly leads to $ x \geq \frac{4}{5} $. However, none of the provided response options seem to correspond directly to the proper sequence or final answer accurately. Please double-check the options provided. The key steps in the correct answer involve adding 3, then dividing by 25.