- #1

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- Homework Statement
- Write the contrapositive and negation of the statement.

- Relevant Equations
- ##\forall x\in\mathbb{R}, (x\geq 3)\Rightarrow (x^2>5)##

The contrapositive statement is

$$\forall x\in\mathbb{R}, (x^2\leq 5)\Rightarrow (x<3)$$

The negation statement is

$$\forall x\in\mathbb{R}, (x<3)\Rightarrow (x^2\leq 5)$$

$$\forall x\in\mathbb{R}, (x^2\leq 5)\Rightarrow (x<3)$$

The negation statement is

$$\forall x\in\mathbb{R}, (x<3)\Rightarrow (x^2\leq 5)$$