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प्रश्न
Solve the following inequation and represent the solution on the number line in following case:
`(4-2x)/3 >= x/2 - 3`
योग
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उत्तर
`(4-2x)/3 >= x/2 - 3`
Eliminate denominators
`6xx((4-2x)/3) >= 6xx(x/2 - 3)`
⇒ 2(4 − 2x) ≥ 3x − 18
2(4 − 2x) = 8 − 4x
⇒ 8 − 4x ≥ 3x − 18
Bring variables to one side
8 ≥ 7x − 18
26 ≥ 7x
`x = <= 26/7`
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