a word problem on equations

Topic:-Equations

solving equations is a mathematical statement, in symbols, that two things are exactly the same (or equivalent). Equations are written with an equal sign, as in

The equations above are examples of an equality: a proposition which states that two constants are equal. Equalities may be true or false.
Equations are often used to state the equality of two expressions containing one or more variables. In the reals we can say, for example, that for any given value .Here is a word problem on equations

Question:-

Solve

"Five times the difference of x
and 8 is lees than or equal to 20"

Answer:-

Let's bring it to a equation form.


Difference of x and 8 = x-8


Five times the difference of x  and 8 = 5(x-8)

less than or equal to 20 means  <=20             

Let's put together

5(x-8)<=20

Now let's go ahead and solve this


5(x-8)<=20

     5x - 40 < =20   Adding 40 on
        +40    +40   Both sides
  --------------------
         5x <= 60


Divde with 5 on both sides

         5x      60
        ---- <= ------
          5        5

          x< = 12

12 is the Answer.





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