Q. 84.7( 18 Votes )

Solve the i

Answer :

Given inequalities 2 (x – 1) < x + 5 and 3 (x + 2) > 2 – x


2 ( x – 1) < x + 5


2x – 2 < x + 5


2x – x < 5 + 2


x < 7 ………(I)


3 (x + 2) > 2 – x


3x + 6 > 2 – x


3x + x > 2 – 6


4x > -4


x > -1 ……….(II)


From (I) and (II) we conclude that solution of given inequalities is (-1, 7).



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