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Solve the following equations: 2(2x+3)-1...

Solve the following equations: `2(2x+3)-10lt=6(x-2)`

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Let,`2(2x+3)−10<6(x−2)`
`⇒4x+6−10<6x−12`
`⇒4x−4<6x−12`
`⇒−4+12<6x−4x`
`⇒8<2x`
`⇒4 Thus, all real numbers x, which are greater than `4`, are the solution of the given inequality.
Hence, the solution set of the given inequality is `(4,oo)`.
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