Question

Resolver, em R, as inequações: A) 3x -1 ≥ 0 B) x+2 < -3 -4xC) -5x - 10 >0D) -2 + 3x ≤ 4xE) 2. (x+2) > x -1F) x+1 ≥ 2x -3 < 3

Answer 1

A) 3x -1 ≥ 0 ==> 3x ≥ 1 ==>  x ≥ 1/3 
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B) x+2 < -3 -4x ==> x+4x > - 3 - 2 ==> 5x > - 5 ==. x > - 1
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C) -5x - 10 >0 ==> - 5x > 10(-1) ==> 5x < - 10 ==> x < - 2
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D) -2 + 3x ≤ 4x ==> 3x - 4x ≤  2 ==> - x ≤ 2(-1) ==> x ≥ - 2 
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E) 2. (x+2) > x -1 ==> 2x - 2 > x - 1 ==> 2x - x > - 1 +2 ==> x > 1 
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F) x+1 ≥ 2x -3 < 3 ==>  - 4 ≤  x < 3 

x+1 ≥ 2x -3 ==> x - 2x  ≥ - 3 ==> - x  ≥ - 3 -1(-1)  ==> x  ≤ - 4

2x -3 < 3  ==> 2x < 3+3 ==> 2x < 6 ==> x < 3