Final answer:
To solve the given inequality, we isolate the variable x and simplify the inequality before determining the solution. The correct answer is B) All values of x are solutions.
Step-by-step explanation:
To solve the inequality 5x - 19 ≤ 1, we need to isolate the variable x. First, we add 19 to both sides to get 5x ≤ 20. Then, we divide both sides by 5 to get x ≤ 4.
For the inequality -4x + 3 - 9/4, we need to simplify it. Combining like terms, we get -4x + 3 - 9/4 = -4x + 12/4 - 9/4 = -4x + 3/4. There is no way to simplify this inequality further, so the solution is x ≤ 3/4.
Therefore, the solution to the given inequality is x ≤ 4 OR x ≤ 3/4. This means that all values of x that are less than or equal to 4, as well as all values of x that are less than or equal to 3/4, satisfy the inequality. So the correct answer is B) All values of x are solutions.