Question

Five time a number plus nine is less than or equal to six times the number plus 5?

Answer 1

Answer:

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

Step-by-step explanation: