To determine if the point \((-5, -3)\) satisfies the inequality \(10x - 12y > -20\), we can substitute \(x = -5\) and \(y = -3\) into the inequality.
First, substitute \(x\) and \(y\):
\[ 10(-5) - 12(-3) > -20 \]
Now calculate:
\[ -50 + 36 > -20 \]
Combining the terms on the left side:
\[ -50 + 36 = -14 \]
So the inequality becomes:
\[ -14 > -20 \]
Since \(-14\) is indeed greater than \(-20\), the point \((-5, -3)\) satisfies the inequality \(10x - 12y > -20\).
Therefore, the answer is yes, the inequality is true for the point \((-5, -3)\).