Which of the following values are solutions to the inequality 1+5x<4?

Question

I.6 II.5 III.2

Answer 1

To find the values that are solutions to the inequality, we need to solve the inequality.

1 + 5x < 4

Subtracting 1 from both sides:
5x < 3

Dividing both sides by 5:
x < 3/5

Therefore, any value that is less than 3/5 is a solution to the inequality.

Looking at the given options:
I. 6 is not less than 3/5, so it is not a solution.
II. 5 is not less than 3/5, so it is not a solution.
III. 2 is less than 3/5, so it is a solution.

Therefore, the values that are solutions to the inequality are III. 2.