Final answer:
To solve the inequalities, isolate the variable x in each equation. The solution is x < -8 or x > 0.
Step-by-step explanation:
To solve the inequalities, we need to isolate the variable x in each equation. Let's solve them one by one:
Equation 1: 15 - 11x > 103
Subtract 15 from both sides: -11x > 88
Divide both sides by -11 (note that dividing by a negative number reverses the inequality sign): x < -8
Equation 2: 13x - 19 > -19
Add 19 to both sides: 13x > 0
Divide both sides by 13: x > 0
Therefore, the solution to the inequalities is x < -8 or x > 0.