Solve the inequality 5(7x+9) less then or equal to 6x-2.

asked Oct 13, 2023 26.4k views

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Given the inequality

$5(7x+9)\leq6x-2$
$\begin{gathered} 5\cdot7x+5\cdot9\leq6x-2 \\ 35x+45\leq6x-2 \\ 35x-6x\leq-2-45 \\ 29x\leq-47 \\ x\leq-(47)/(29) \end{gathered}$

So, the solution of the inequality is the interval ( -∞ , -47/29]

ADvo answered Oct 17, 2023

by ADvo

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