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

After having gone through the examples explained above, we hope that students would have understood, how translate sentences into symbolic form. 

Apart from the stuff given in this section, if you would like to have any other stuff in math, please use our google custom search here. 

You can also visit our following web pages on different stuff in math. 

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

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

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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