Final answer:
To solve the inequalities, divide and add to both sides of the inequalities, resulting in x <= -7 and x > 8. In interval notation, the solution is (-∞,-7] U (8,∞)
Step-by-step explanation:
To solve the inequality 7x <= -49, we divide both sides of the inequality by 7. This gives us x <= -7.
To solve the inequality x - 8 > 0, we add 8 to both sides of the inequality. This gives us x > 8.
In interval notation, the solution for the two inequalities is (-∞,-7] U (8,∞)