Sheena and her friend want to form a team to play recreational soccer. they want a combination of males and females for the soccer team. they want to have no more than seven players on your team. part a: write a inequality to represent the situation part b: graph the inequality and shade the area where the possible solutions would lie. part c: what is the difference between the ordered pairs that fall on the line and the ones that fall in the unshaded area?

Step-by-step explanation:

In this problem, will represent males, and will represent females.

So, the problem states that they don't want more than seven players, gender is not actually restricted here, just the total number per team. This means that the sum of both genders has to be less than 7. Then, the expression would be:

This expression expresses perfectly the relation asked by the problem. In words, it says that males plus women are less than 7.

If we graph this inequality, would be like the image attached.

As you can see in the graph, there's a important difference between a ordered pair that fall on the line, and other pair under the line. Basically, all ordered pairs that falls on the line, it means that they aren't solution for the inequality. Those pair that falls inside the shaded zone, those are solutions of the inequality, that's the difference.

Therefore, all solution are those ordered pairs that fall in the shaded zone.

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

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.