Respuesta :

The right answer is Option D: x> -15.

Step-by-step explanation:

Given inequality is;

−2/5x+14>20

Subtracting 14 from both sides

[tex]-\frac{2}{5}x+14-14>20-14\\\\\-\frac{2}{5}x>6[/tex]

Multiplying both sides by [tex]-\frac{5}{2}[/tex]

[tex]-\frac{5}{2}*-\frac{2}{5}x>6*-\frac{5}{2}\\\\x>-\frac{30}{2}\\x>-15[/tex]

The solution set to the inequality is x>-15.

The right answer is Option D: x> -15.

Keywords: inequality, fraction

Learn more about fractions at:

  • brainly.com/question/1414350
  • brainly.com/question/1464739

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