solve the inequality x-6 less then or equal to 5 and graph the solution

Question

i have to solve the inequality equation and then graph the solution

Answer 1

Okay....

 

you have      x-6<5      or equal to, but that is not too important.

 

 

 You have to understand that an equation or, in this case, an inequality is like a balance---whatever you do to one side, you have to do the SAME to the other!   Or else it becomes totally messed up and things are no longer equal.

 

 SO,   add six to both sides!

 

Then,  you get  x-6+6<5+6

 

   Since -6+6 is zero (actually negative 6 and positive six together is zero).  I always teach that subtracting six is THE SAME as adding negative six.

 

 

   You are then left with x<11

 

 

To graph that,  make a number line, and put an "open" circle on the number eleven.   Meaning, it is not shaded in or included as a solution, since the number 11 is not really at al LESS than 11.

 

Then draw an arrow to anything less than eleven--or to the left!