|
Question 64242: I have to do a really big project and I got stuck doing this. I do not know what is means. What is an algebraic expression using equations and inequalities? Will you give me examples of each.
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! I have to do a really big project and I got stuck doing this. I do not know what is means. What is an algebraic expression using equations and inequalities? Will you give me examples of each.
LET US SAY JOHN IS ELDER TO PETER BY 3 YEARS.
SO IF PETER IS 10 YRS,JOHN IS 10+3= 13 YRS....
IF PETER IS 5 YRS,JOHN IS 5+3=8 YRS....ETC...
AS WE ARE NOT GIVEN THE ACTUAL AGES,WE TAKE
LET PETER BE P YEARS (IF YOU HAVE ANY INHIBITION OR DOUBT WITH USE OF A SYMBOL , JUST IMAGINE IT TO BE EQUAL TO SOME 10 AS ABOVE AND PROCEED.FINALLY PUT P IN PLACE OF 10)....SO JOHN IS P+3 YEARS....IF WE CALL JOHN'S AGE AS J YEARS THEN WE GET AN EQUATION
J=P+3
THIS IS A SIMPLE EXAMPLE.PROCEED ON SIMILAR LINES TO GET BIGGER EXPRESSIONS.WHEN IN TROUBLE DO IT IN SIMPLE NUMBERS AND REPLACE THOSE NUMBERS BY SYMBOLS FINALLY.
THIS TYPE OF EXPRESSION IN SYMBOLS IS CALLED ALGEBRAIC RELATION.
EQUATION:
IF THE RELATION IS GIVEN BY AN EQUAL TO SIGN BETWEEN 2 TERMS OR SIDES ,L.H.S AND
R.H.S.HERE WE GOT
J=P+3....THAT IS THE VARIABLES ON LEFT AND RIGHT HAND SIDES ARE CONNECTED BY =.
SO IT IS AN EQUATION
INEQUALITY:
IN THE SAME EXAMPLE,SUPPOSE IT IS ONLY GIVEN THAT JOHN IS ELDER TO PETER,THEN WE SAY
J>P.........HERE THE 2 SIDES LHS AND RHS ARE RELATED BY AN INEQUALITY LIKE
>GREATER THAN OR < LESS THAN.
IN SUCH CASES WE CALL THEM INEQUALITIES.
|
|
|
| |
