Final answer:
To solve f(x) > -15 when f(x) = -4x + 11 - 3, you simplify the equation to -4x + 8 > -15 and solve for x, resulting in x < 5.75. However, the options provided do not correspond to this solution, suggesting a possible error in the provided options.
Step-by-step explanation:
The question is asking to solve the inequality f(x) > -15 for the function f(x) = -4x + 11 - 3. First, we simplify the function:
f(x) = -4x + 8 (after combining 11 and -3)
Next, we solve the inequality:
-4x + 8 > -15
Add 15 to both sides:
-4x > -23
Divide by -4, noting that this will reverse the inequality sign:
x < 23/4
x < 5.75
Since x < 5.75, the answer corresponds to the option d. x does not align with the solution we found, as it does not include numbers less than 5.75. The correct range must include all x-values that are less than 5.75. However, none of the listed options perfectly match this description, so we can assume there might be an error in the options provided or more context is needed.