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प्रश्न
Solve the given inequality and show the graph of the solution on number line:
`x/2 >= ((5x -2))/3 - ((7x - 3))/5`
उत्तर
The given inequality,
`x/2 >= (5x -2)/3 - (7x - 3)/5`
= `x/2 ≥ (5(5x - 2) -3 (7x - 3))/15`
= `x/2 ≥ (25x - 10 -21x + 9)/15`
= `x/2 ≥ (4x - 1)/15`
= 15x ≥ 2 (4x - 1)
= 15x ≥ 8x - 2
= 15x - 8x ≥ 8x - 2 - 8x
= 7x ≥ -2
= `x ≥ - 2/7`
The graphical representation of the solutions of the given inequality is as follows.
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