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प्रश्न
Solve the following inequation and represent the solution on the number line in following case:
`(3x - 2)/5 <= (4x-3)/2`
योग
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उत्तर
`(3x - 2)/5 <= (4x-3)/2`
Multiply both sides by LCM of 5 and 2, which is 10:
`10 xx ((3x-2)/5 <= 10 xx ((4x-3)/2)`
2(3x − 2) ≤ 5(4x − 3)
Expand both sides
6x − 4 ≤ 20x − 15
Subtract 6x from both sides:
−4 ≤ 14x − 15
Add 15 to both sides:
11 ≤ 14x
`11/14 <= x => x>= 11/14`
`x>= 11/14`
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