Five less than six times a number is at least nine subtracted from two times that number

Question

Another homework answer that  leave both my friend and I clueless . 

Answer 1

Solve: Five less than six times a number is at least nine subtracted from two times that number.

Steps:
1.  Let x = #
2.  "Five less than six times a number" can be written as:  6x - 5 

3.  "is at least" is the same as "greater than or equal to" and can be written as:  >= 

4.  "nine subtracted from two times that number"  can be written as:  2x - 9
5.  the equation is: 6x - 5 >= 2x - 9
6.  solve for x by grouping the x variable terms on one side and the constants on the other side:

              6x - 5 >= 2x - 9

             -2x +5     -2X +5

              4x      >=      -4    

7.  divide each side by 4, and you get: x = -1

Answer 2

Ashley (more on what Joseph C. wrote),

 

It is time for you to make a chart of words and the symbols that represent them:

 

It is time to start building a chart of “the same as” so you will understand word problems.

For example,

   Equals                     =

   The sum of           a  +  b

    Minus                   a  -  b

    a is at most b      a   <=   b

 

    a is at least b      a   >=   b

 

    of                            *

 

    more than                +

 

    less than                  -

 PLZ add entries to this list every day.

 

The problem statement translates to:

 

     6 * N  -  5   >=   2 * N  - 9

Answer 3

Let x = the number, then

 

6x - 5 = 2x - 9

rearranging, 6x - 2x = -9 + 5

combining, 4x = -4

solving, x = -1

 

Proof: 6(-1) - 5 = 2(-1) - 9; -11 = -11