Question

solve the following inequality and give solution set.

7(3x - 2) > 9(x + 3)

plz step by step explanation ​

Answer 1

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Question :

solve the following inequality and give solution set :

$\\ \rm \: 7(3x - 2) > 9(x + 3)$

Answer :

$\implies \large \sf \: 7(3x - 2) > 9(x + 3)$

$\\ \implies \large \sf \: 21x - 14 > 9x + 27$

$\\ \implies \large \sf \: 21x - 14 - 9x - 27 > 0$

$\\ \implies \large \sf \: 21x - 9x - 14 - 27 > 0$

$\implies \large \sf \: 12x - 41 > 0$

$\\ \implies \large \sf \: x > \frac{41}{12}$

$\\ \implies\large\sf{x \in \bigg(\dfrac{41}{12} , \infin \bigg) }$