Statement
Quantifiers
Operations on Statements
Implications
100
~Statement or not~ 8 is greater than 6.
A statement because the meaning of the sentence is true.
100
~Form a true statement by using "all" or "some"~ _______negative number are less than zero.
All negative number are less than zero.
100
~Change the statement truth value by using "not" or "no"~ The value of (-4)x(-6) is 24.
The value of (-4)x(-6) is not 24.
100
~Identify antecedent and consequent~ If 8>3, then 8-5>3-5
antecedent:8>3 consequent:8-5>3-5
200
~Statement or not~ Draw a Venn Diagram.
Not a statement. (Command)
200
~Can this statement generalised to cover all cases by using "all" without changing its truth value.~ The decimal 0.75 can be converted into fraction form.
Can be generalised to cover 'all decimals can be converted into fraction form.'
200
~Identify 2 statements that have been combined~ All even numbers are divisible by 2 and 3.
All even numbers are divisible by 2. All even numbers are divisible by 3.
200
~Write 2 implications~ 679 is a multiple of 7 if and only if 679 is divisible by 7.
Implication 1: If 679 is a multiple of 7, then 679 is divisible by 7. Implication 2: If 679 is divisible by 7, then 679 is a multiple of 7.
300
~Write one true statement~ Numbers: 7,5,3,15 Symbols: +, =
7+5+3=15
300
~Truth value of the statement~ All sets have at least one element.
False. ({ } empty set has no element.)
300
~True or False statement? Why?~ 6>7 or 6-7=1
6>7 (False) 6-7=1 (False) Therefore, the statement is false.
300
p= ABC is a right-angle triangle. q= Angle of ABC=90 degree. Construct: a)If p, then q.
a)If ABC is a right-angle triangle, then angle of ABC=90 degree.
400
~True or False statement~ A radius of a circle is twice its diameter.
False
400
~Write a true statement using "all" or "some"~ Object: Negative numbers Property: greater than -5
Some negative numbers are greater than -5.
400
~True or False statement?~ Some numbers that are multiple of 3 are even numbers and are divisible by 6.
True
400
p= ABC is a right-angle triangle. q= Angle of ABC=90 degree. Construct: b) p if and only if q.
b)ABC is a right-angle triangle if and only if Angle of ABC=90 degree.
500
~Construct a true statement by using (+,-,x, /)~ 3 ( ) 7 ( ) 84 ( ) 4
3 x 7 = 84 / 4
500
~Write a true statement using "all" or "some"~ Object: quadrilaterals Property: sum of interior angles equal to 360 degree
All quadrilaterals have sum of interior angles equal to 360 degree.
500
~This statement is true or false? Why?~ 0.4x0.1=0.04 or 8x0.06=0.048
True because the statement '0.4x0.1=0.04' is true.
500
~State its converse. Determine truth value.~ If p>10, then p>7.
If p>7, then p>10 (False)