) 14 > x + 11

A) (-∞, 3]
B) [3, ∞)
C) (-∞, 3)
D) (3, ∞)

To solve the inequality, we need to isolate the variable "x" on one side of the inequality sign.

Given inequality: 14 > x + 11

Now, let's begin solving it step by step:

Step 1: Subtract 11 from both sides of the inequality:
14 - 11 > x + 11 - 11
3 > x

So, we have x < 3.

Now, let's analyze the answer choices:

A) (-∞, 3]: This represents all values less than or equal to 3, but since our inequality is x < 3 (which excludes 3 itself), this answer choice is incorrect.

B) [3, ∞): This represents all values greater than or equal to 3, which is not the case according to our inequality x < 3. Therefore, this answer choice is also incorrect.

C) (-∞, 3): This represents all values less than 3, including 3 itself. As our inequality is x < 3, this answer choice is correct.

D) (3, ∞): This represents all values greater than 3, but since our inequality is x < 3, this answer choice is incorrect.

The correct answer is option C) (-∞, 3).