Negation
If ~ p : 2 + 2 =4 What is p ? 2 X 2 = 4 2 X 2≠ 4 2 + 2 = 4 2 + 2 ≠4
2+2≠4
Match the following statement and negations 1. 5+4=90 2. The grass is green 3. A line has no length 4. Geometry is interesting 5. Two points determine a line 6. A line does not have a midpoint 7. My dog has fleas. 8. This rose is white 9. All pigs are fat 10. Milk tastes good.
2. The grass is not green. 8. This rose is not white. 1. 5 + 4 ≠ 90 10. Milk does not taste good. 4. Geometry is not interesting. 3. A line has length. 9. All pigs are not fat. 7. My dog doesn't have fleas. 5.Two points do not determine a line. 6.A line does have a midpoint.
If p is a statement, which of the statement is the negation of p. A. Not p B. And p C. p is false D. Or p E. p is true
A. Not p C. p is false
If ~p: Two parallel line never intersect. What is p? A. Two parallel lines always intersect. B. Two parallel lines never intersect. C. Two parallel lines sometimes intersect. D. none of the above
A. Two parallel lines always intersect.~p: It is not raining.
If p: It is not cold. What is ~p? A. it is cold B. it is mildly cold C. it depends D. none of the above
A. it is cold
If p: All birds fly. What is ~p? A. some birds fly B. birds always walk C. not all birds fly D. none of the above
C. not all birds fly
If p: The grass is green. What is ~~p? A. the grass is short B. the grass is not green C. the grass used to be green D. the grass is green E. unable to tell from the information given
D. the grass is green
State the negation of the following statement It is cloudy
~p: It is not cloudy
State the negation of the following statement It is not raining
~p: It is raining.
State the negation of the following statement Lines a and b are parallel
~p: Lines a and b are not parallel.
State the negation of the following statement The sun is not shining
~p: The sun is shining.