∀x ∈ℝ, x<2 ⇒x2<4
Mj K
Answered question
2022-03-22
say if this statement is true or false with justification
Answer & Explanation
karton
Expert2023-04-25Added 613 answers
The statement in question is:
For all
To determine if this statement is true or false, we need to check if it holds for all real numbers x less than 2.
Let's begin by assuming that x is a real number less than 2. Then, we know that x is negative or positive and lies between negative infinity and 2.
We can square both sides of the inequality to obtain:
This is true for all real numbers x that are less than 2. Therefore, the statement is true.
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