Question

Select the points that are part of the solution set for the inequality y≤25x+1y≤25x+1 . Select ALL that apply.(2 points) Responses (10, 6)(10, 6) (10, 6)(10, 6) (10, 4)(10, 4)(10, 4)(10, 4) (5, 3)(5, 3) (5, 3)(5, 3) (10, 5.5

Answer 1

To determine which points are part of the solution set for the inequality \(y \leq 25x + 1\), we can evaluate each point by substituting the x-coordinate into the equation and checking if the y-coordinate is less than or equal to the resulting value.

The equation \(y = 25x + 1\) represents a line. The solution set for the inequality includes all points on or below this line.

Let's evaluate the points one by one:

1. **Point (10, 6)**:
\[
y = 25(10) + 1 = 250 + 1 = 251
\]
\(6 \leq 251\) (True)

2. **Point (10, 4)**:
\[
y = 25(10) + 1 = 251
\]
\(4 \leq 251\) (True)

3. **Point (5, 3)**:
\[
y = 25(5) + 1 = 125 + 1 = 126
\]
\(3 \leq 126\) (True)

4. **Point (10, 5.5)**:
\[
y = 25(10) + 1 = 251
\]
\(5.5 \leq 251\) (True)

All given points satisfy the inequality \(y \leq 25x + 1\).

**Conclusion**: All the points (10, 6), (10, 4), (5, 3), and (10, 5.5) are part of the solution set.