Prove or Disprove: for All Integers $$a . b \text {, if } a \mid b \text { and } b \mid a . \text { then } a = b \text {. }$$

question 15

True/False

Prove or disprove: For all integers $$a . b \text {, if } a \mid b \text { and } b \mid a . \text { then } a = b \text {. }$$

---

Definitions:

War on Poverty

A set of government policies and programs introduced in the 1960s in the United States aiming to reduce poverty and improve the living standards of Americans.

Poverty Rate

The percentage of the population that lives below the national poverty line, a measure reflecting the inability to afford basic needs.

Government Spending

The total amount of money spent by the government on various services, initiatives, and projects, including defense, education, public safety, and infrastructure.

Poverty-level Families

Households whose income falls below a specified level designated as the poverty line, indicating a lack of basic needs.