TRANSLATING SENTENCES INTO SYMBOLIC FORM
About "Translating Sentences into Symbolic Form"
Translating Sentences into Symbolic Form :
Have you ever written a sentence in short hand or used acronyms to represent words ?
In math we do that as well. In this topic, you will learn how to translate a sentence into symbolic form.
You will also learn how to change the meaning of a sentence, by using a symbol
We can use the following stuff to translate sentences into symbolic form.
∼ = Not
∧ = And (Conjunction)
∨ = Or (Dis junction)
--> = If....then
<--> = If and only if
Translating Sentences into Symbolic Form - Examples
Example 1 :
Translate the following sentence into symbolic form :
The earth is a planet
Translation :
E
Example 2 :
Translate the following sentence into symbolic form :
David is not a soccer player
Translation :
∼ S
Example 3 :
Translate the following sentence into symbolic form :
John is intelligent and handsome
Translation :
I ∧ H
Example 4 :
Translate the following sentence into symbolic form :
He watches TV but not sports programs
Translation :
Note : But is the same as And
So, we have
T ∧ ∼ S
Example 5 :
Translate the following sentence into symbolic form :
I have neither the time nor the money to do the project
Translation :
Note : Neither A nor B is the same as not A and not B
So, we have
∼ T ∧ ∼ M
Example 6 :
Translate the following sentence into symbolic form :
It is false that Michael is running for President and Donald Trump is endorsing him.
Translation :
∼ (M ∧ D)
Example 7 :
Translate the following sentence into symbolic form :
If the label does not read "POISON" then I can drink it
Translation :
∼ P --> D
Example 8 :
Translate the following sentence into symbolic form :
The cow is brown if and only if the milk is chocolate
Translation :
B <--> C
Example 9 :
Translate the following sentence into symbolic form :
Take rest or play games
Translation :
T ∨ P
Example 10 :
Translate the following sentence into symbolic form :
Read the book, and take a test or do a project
Translation :
(R ∧ T) ∨ P
Example 11 :
Translate the following sentence into symbolic form :
Read the book and take a test, or do a project
Translation :
R ∧ (T ∨ P)
Example 12 :
Translate the following sentence into symbolic form :
Read the book and don't take the test, or do a project
Translation :
(R ∧ ∼ T) ∨ P
Example 13 :
Translate the following sentence into symbolic form :
Write the dis junction of D and S.
Translation :
D ∨ S
Example 14 :
Translate the following sentence into symbolic form :
Write the negation of ∼ W
Translation :
W
Example 15 :
Translate the following sentence into symbolic form :
Write the conjunction of A and ∼ F
Translation :
A ∧ ∼ F
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WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
Sum of all three four digit numbers formed using 0, 1, 2, 3
Sum of all three four digit numbers formed using 1, 2, 5, 6
