Question

1-2 logic practice
directions: write the negation of each statement.
statement negation

1. $x > 3$
2. today is saturday.
3. $y \leq 10$
4. geometry is not my favorite class.

directions: use symbols to represent the given statements.
p:60 seconds = 1 minute
q: right angles have a measure of $90^\circ$
r: $-12 + 11 < -1$
statement symbols

1. 60 seconds = 1 minute and right angles have a measure of $90^\circ$.
2. right angles have a measure of $90^\circ$ or $-12 + 11 < -1$.
3. if right angles do not have a measure of $90^\circ$, then 60 seconds = 1 minute.
4. 60 seconds $\

eq$ 1 minute and $-12 + 11 \geq -1$.

Explanation:

Step1: Negate inequality $x>3$

$x \leq 3$

Step2: Negate "Today is Saturday"

Today is not Saturday.

Step3: Negate inequality $y \leq 10$

$y > 10$

Step4: Negate negative statement

Geometry is my favorite class.

Step5: Symbolize "and" statement

$p \land q$

Step6: Symbolize "or" statement

$q \lor r$

Step7: Symbolize conditional negation

$
eg q
ightarrow p$

Step8: Symbolize negated "and" statement

$
eg p \land
eg r$

Answer:

1. $x \leq 3$
2. Today is not Saturday.
3. $y > 10$
4. Geometry is my favorite class.
5. $p \land q$
6. $q \lor r$
7. $

eg q
ightarrow p$

1. $

eg p \land
eg r$