Question

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

Answer 1

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.