Question

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

Answer 1

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

Explanation: