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What value of x is in the solution set of 2(3x – 1) > 4x – 6?

2 Answers

4 votes

Answer: x > -2

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

User Hindu
by
3.8k points
2 votes

Answer:

The answer to your question is (-2, ∞)

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, ∞)

User Just A Student
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3.8k points