F-9 Solve the following inequalitie...
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F-9 Solve the following inequalities (i) 15% - 25.3* – 9.5% + 2252 0

JEE/Engineering Exams
Maths
Solution
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( 5^{x} cdot 3^{x}-25 cdot 3^{x}-9 cdot 5^{x}+225 geqslant 0 ) ( 5^{x}left(3^{x}-9right)-25left(3^{x}-9right) geq 0 ) ( quadleft(3^{x}-9right)left(5^{x}-25right) geqslant 0 ) both tre ( begin{array}{rl}3^{x}-9 geqslant 0 Rightarrow x geqslant 2 & text { both are } 5^{x}-25 geqslant 0 Rightarrow x geqslant 2 & 3^{x}-9 leq 0 quad Rightarrow x leq 2end{array} )
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