2x 1 3 3x 2 4 2 x 5
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Solve the given inequality for real x: (2x-1)/3 ≥ (3x-2)/4 - (2-x)/5
Answered by admin @
Given : (2x-1)/3 ≥ (3x-2)/4 - (2-x)/5
To find : Value of x for real x
Solution:
(2x-1)/3 ≥ (3x-2)/4 - (2-x)/5
multiplying both sides by 60
=> 20(2x - 1) ≥ 15(3x - 2) - 12(2- x)
=> 40x - 20 ≥ 45x - 30 - 24 + 12x
=> 40x - 20 ≥ 57x - 54
Adding 54 both sides
=> 40x + 34 ≥ 57x
subtracting 40x on both sides
=> 34 ≥ 17x
Dividing 17 on both sides
=> 2 ≥ x
=> x ≤ 2
x ∈ ( -∞ , 2 ]
x ∈ ( -∞ , 2 ]
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