Question

Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)? A. x > 12 B. x < 12 C. x > 20 D. x < 20

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

TO CHOOSE THE CORRECT OPTION

The solution of the inequality

8(6x − 7) < 5(9x − 4) is

• A. x > 12

• B. x < 12

• C. x > 20

• D. x < 20

CALCULATION

Here the given inequality is

$\sf{8( 6x - 7) < 5(9x - 4) \: }$

$\implies \: \sf{48x - 56 < 45x -20\: }$

$\implies \: \sf{48x -45x < 56 -20\: }$

$\implies \: \sf{3x < 36\: }$

$\implies \: \sf{x < 12\: }$

RESULT

Hence the required solution of the given inequality is

$\boxed{ \: \sf{ B. \: \: \: \: x < 12\: \: \: \: }}$

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