The correct solution to the inequality (3 > 8 + 5x) is x < -1. Here option A is correct.
To determine which values satisfy the given inequality "3 > 8 + 5x," let's solve it step by step:
Subtract 8 from both sides of the inequality: -5 > 5x
Divide both sides by 5 (note that dividing by a negative number reverses the inequality sign): x < -1
Now, we need to compare this result with the given options:
A) x < -1 - This matches the solution we found.
B) x > -1 - This contradicts our solution. The correct direction is less than, not greater than.
C) x < 1 - This is a stricter condition than x < -1. It does not include our solution.
D) x > 1 - This contradicts our solution. The correct direction is less than, not greater than.
E) x = 0 - This is not a solution to the original inequality.
Therefore, the correct answer is A) x < -1.
Complete question:
Which of the following values are solutions to the inequality 3 > 8 + 5x?
A) x < -1
B) x > -1
C) x < 1
D) x > 1
E) x = 0