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Solve the inequalities and represent the...

Solve the inequalities and represent the solution graphically on number line. `3x-7 gt 2(x-6),6-x gt 11-2x`.

Text Solution

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First inequality,
`3x-7 gt 2(x-6) = 3x-7 gt 2x-12`
`x gt -5->(1)`
Second inequality,
`6-x gt 11-2x = x gt 5->(2)`
Now, we can draw (1) and (2) on number line.
Please refer to video for the graph.
From the graph, we can see the solution is,
...
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