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  • Solve the inequality and represent the solution graphically on number line. 2 ( x - 1) l< x + 5, 3 (x + 2) > 2 - x

Q: Solve the inequality and represent the solution graphically on number line. 2(x-1)<x+5,\ 3(x+2)> 2 -x

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best_answer

Given : 2(x-1)<x+5,\ 3(x+2)> 2 -x

2(x-1)<x+5\, \, \, \, and\, \, \, \, \, \ 3(x+2)> 2 -x

\Rightarrow \, \, 2x-2<x+5\, \, \, \, and\, \, \, \, \, \ 3x+6> 2 -x

\Rightarrow \, \, 2x-x<2+5\, \, \, \, and\, \, \, \, \, \ 3x+x> 2 -6

\Rightarrow \, \, x<7\, \, \, \, and\, \, \, \, \, \ 4x> -4

\Rightarrow \, \, x<7\, \, \, \, and\, \, \, \, \, \ x> -1

 (-1,7)

The solution graphically on the number line is as shown :

 

 

Posted by

seema garhwal

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