Question

What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6? –10 –5 –3 –1

Answer 1

Answer: -1

Step-by-step explanation:

Given by your question

2(3x-1)≥4x-6

Distributive property to take off the parentheses

2×3x-2×1≥4x-6

6x-2≥4x-6

Subtract 4x on both sides (Subtractive property of equality)

6x-2-4x≥4x-6-4x

2x-2≥-6

Add 2 on both sides (Addition property of equality)

2x-2+2≥-6+2

2x≥-4

Divide 2 on both sides (Division property of equality)

2/2 x≥-4/2

x≥-2

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Looking at the options you've provided.

-10 INCORRECT, it is not greater or equal to -2

-5 INCORRECT, it is not greater or equal to -2

-3 INCORRECT, it is not greater or equal to -2

-1 CORRECT, it is greater than -2

Hope this helps!! :)

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Answer 2

• Answer:

x = - 1

• Step-by-step explanation:

2(3x – 1) ≥ 4x – 6

6x - 2 ≥ 4x - 6

6x - 4x ≥ 2 - 6

2x ≥ - 4

x ≥ - 2

x ∈ [ - 2 ; + oo )

x = - 1