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
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