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Solve the inequality

\displaystyle \frac{{{x}+{6}}}{{{x}+{7}}}>-{4}

Give your answer in interval notation.

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\displaystyle

Enter your answer using interval notation. Example: [2,5)
Use U for union to combine intervals. Example: (-oo,2] U [4,oo)
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for an empty set. Use oo to enter Infinity.