For the linear inequality 2(x-2)-4x≥ x+2 how to find the solution and express it in interval notation

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For the linear inequality 2(x-2)-4x≥ x+2 how to find the solution and express it in interval notation

[From: ] [author: ] [Date: 11-04-29] [Hit: ]

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2(x - 2) - 4x ≥ x + 2

2x - 4 - 4x ≥ x + 2

-2x - 4 ≥ x + 2

-3x - 6 ≥ 0

Here you want to divide by negative three and notice that the inequality will reverse:

x + 2 ≤ 0

x ≤ -2

(-∞, -2]

-

2x-4-4x>x+2 , -3x>6 , x < -2 , x element (-oo;-2]

-

simplify it

2x-4-4x -x -2 > 0
-3x-6 > 0
x < -2

1

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