AndruG173752 AndruG173752

03-11-2022
Mathematics

contestada

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

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BronnerM514343 BronnerM514343

03-11-2022

Given the inequality

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

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

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