Answer:
To solve the inequality 3x - 14 ≥ 11 - x, we need to isolate the variable x on one side of the inequality symbol. We can do this by adding x to both sides and adding 14 to both sides:
3x - 14 + x ≥ 11
Combining like terms, we get:
4x - 14 ≥ 11
Adding 14 to both sides, we get:
4x ≥ 25
Dividing both sides by 4, we get:
x ≥ 6.25
Therefore, the solution to the inequality is x ≥ 6.25, which can be represented as the interval [6.25, ∞) on the number line