Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. each inequality and number line represents the solution for the given situation

 x ≥ 6

Step-by-step explanation:

12 less than 5 times a number ≥ 6 more than twice the number

                    5x - 12                    ≥                        2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

-2x  +12  -2x +12

3x         ≥       18

÷3                ÷3

   x         ≥       6

Graph: 6 →   the dot is closed (filled in) since it is "equal to"

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

c

step-by-step explanation: