We need to find the solution to the inequality $4x - 1 > 3(x + 2) - 4$. The answer should be in interval notation.

AlgebraInequalitiesLinear InequalitiesInterval NotationAlgebraic Manipulation
2025/3/21

1. Problem Description

We need to find the solution to the inequality 4x1>3(x+2)44x - 1 > 3(x + 2) - 4. The answer should be in interval notation.

2. Solution Steps

First, we expand the right side of the inequality:
4x1>3x+644x - 1 > 3x + 6 - 4
4x1>3x+24x - 1 > 3x + 2
Next, we subtract 3x3x from both sides:
4x3x1>3x3x+24x - 3x - 1 > 3x - 3x + 2
x1>2x - 1 > 2
Then, we add 11 to both sides:
x1+1>2+1x - 1 + 1 > 2 + 1
x>3x > 3
The solution in interval notation is (3,)(3, \infty).

3. Final Answer

(d) (3,)(3, \infty)

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