Final answer:
The type of compound inequality is Intersection.
Step-by-step explanation:
To determine which type of compound inequality is ∣y−3∣−4≤−3, we need to understand the different types of compound inequalities.
A) Hole: A hole is a type of compound inequality where there is an inequality symbol (∩ or ∪) between two inequalities. This does not apply to the given expression.
B) Disjunction: A disjunction is a compound inequality where the solution is either one inequality or the other, depending on the given condition. This does not apply to the given expression.
C) Union: A union is a compound inequality where the solution is the combination of two inequalities. This does not apply to the given expression.
D) Intersection: An intersection is a compound inequality where the solution is the overlap of two inequalities. This applies to the given expression.
Therefore, the correct answer is D) Intersection.