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  • Solve the inequality and represent the solution graphically on number line. 3x - 7 >2 (x - 6), 6 - x g> 11 - 2x

Q: Solve the inequality and represent the solution graphically on number line.3x - 7 > 2(x-6),\ 6-x > 11 - 2x

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Given : 3x - 7 > 2(x-6),\ 6-x > 11 - 2x

3x - 7 > 2(x-6)\, \, \, \, and\, \, \, \, \, \ 6-x > 11 - 2x

\Rightarrow \, \, 3x - 7 > 2x-12\, \, \, \, and\, \, \, \, \, \ 6-x > 11 - 2x

\Rightarrow \, \, 3x - 2x >7-12\, \, \, \, and\, \, \, \, \, \ 2x-x > 11 - 6

\Rightarrow \, \, x >-5\, \, \, \, and\, \, \, \, \, \ x > 5

 x\in (5,\infty )

The solution graphically on the number line is as shown :

 

Posted by

seema garhwal

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