Solve for x. −ax + 2b > 8 x < the quantity negative 2 times b plus 8 all over negative a x > the quantity negative 2 times b plus 8 all over negative a x < the quantity 2 times b minus 8 all over negative a x > the quantity negative 2 times b minus 8 all over a

Begin by subtracting 2b from both sides. This will give us

-ax > -2b +8

Then we will divide by -a. This division by a negative number changes the direction of the inequality sign. When we divide by -a:

Remark

Why don't we just solve the expression, and then see which one of the answers fit. 

Step One.

You are eventually going to divide by - a. On of the most confusing problems with inequality equations is what to do about a - division. The answer is (in this case) to add ax to both sides of the equation.

-ax + ax + 2b > 8 + ax

2b > 8 + ax 

Step two

Solve for x. Subtract 8 from both sides.

2b - 8 > 8 - 8 + ax

2b - 8 > ax   

Step 3

Divide by a

(2b - 8)/a > x

Step Four

Find the answer.

I'm getting none of the answers above. 

My answer is actually correct. The question now goes through the convoluted process of multiplying top and bottom of the answer by -1. Why I don't know. I suppose just so you can get an answer that is given.

If you do that, you get

(8 - 2b)/-a > x which is the first answer, I think.

11 feet 6 inches and 8 feet 6 inches

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