Write an inequality for the graph. a) -6x+5y> =-30 b)-6x+5y< =-30 c)5x-6y< =-30 d)5x-6y> =-30

Use y = mx + b to determine the equation of the graph, then decided the inequality symbol.

m = +5/+6 =    b = 5

y =  x + 5

6y = 5x + 30

-30 = 5x - 6y   ⇒   5x - 6y = -30

Now let's look at the inequality symbol:  The shaded area is below so it will be a less than symbol and it is a solid line so the equal sign is included.

5x - 6y ≤ -30

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step-by-step explanation:

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