Answer:
The answer to your question is (-2, ∞)
Step-by-step explanation:
Data
2(3x - 1) > 4x - 6
Process
-Expand
6x - 2 > 4x - 6
-Subtract 4x in both sides
6x - 4x - 2 > 4x - 6 - 4x
-Simplify
2x -2 > -6
-Add 2 in both sides
2x - 2 + 2 > -6 + 2
-Simplify
2x > -4
-Divide by 2 both sides
2x/2 > -4/2
-Simplify
x > -2
-Result
All the numbers higher than -2
(-2, ∞)
Answer: x > -2
Step-by-step explanation:
2(3x−1)>4x−6
Step 1: Simplify both sides of the inequality.
6x−2>4x−6
Step 2: Subtract 4x from both sides.
6x−2−4x>4x−6−4x
2x−2>−6
Step 3: Add 2 to both sides.
2x−2+2>−6+2
2x>−4
Step 4: Divide both sides by 2.
2x/2>−4/2
x>−2
