(A) Prove or Disprove: If a ≡ B (Mod 5) $a ^ { 2 } \equiv b ^ { 2 } ( \bmod 5 )$

question 27

Essay

(a) Prove or disprove: If a ≡ b (mod 5), where a and b are integers, then $a ^ { 2 } \equiv b ^ { 2 } ( \bmod 5 )$ (b) Prove or disprove: If $a ^ { 2 } \equiv b ^ { 2 } ( \bmod 5 )$ where a and b are integers, then a ≡ b (mod 5).

Identify the correct usage of percentages in written text.

Recognize the appropriate use of cardinal and ordinal numbers in context.

Apply knowledge of number rules to different scenarios involving measurements, addresses, and quantities.

Distinguish between situations where numerals or words are used for numbers according to standard English conventions.

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Definitions:

Anxious or Fearful

Refers to experiencing worry, nervousness, or unease about something with an uncertain outcome.

Cognitive-behavioral Therapy

A type of psychotherapeutic treatment that helps patients understand the thoughts and feelings that influence behaviors.

Pharmacological Therapy

The treatment of disease through the administration of drugs, often used in the management of mental health conditions.

Immersion Therapy

A therapeutic technique that involves exposing individuals directly to their fears or traumas in a controlled environment to reduce anxiety or distress.