Rita bakes pies at The Corner Bakery. The number of pies she can bake, x, is limited by the ingredients they have in stock. This situation is represented by the compound inequality 2x - 3 < 7 and 5 - x < 8.
Solve the compound inequality and select all the viable solutions.
-2 pies
2 pies
1 pie
O pies
-1 pies
-3 pies
5 pies
6 pies
4 pies
3 pies

The solution for the inequality is -3< x <5

The viable solutions are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies

Step-by-step explanation:

The given inequalities are;

2·x - 3 < 7 and 5 - x < 8

Therefore, we have;

2·x - 3 < 7

2·x < 7 + 3

2·x < 10

x < 5

From the other inequality, we have;

5 - x < 8

-x < 8 - 5 = 3

-x < 3

-x/(-1) > 3/(-1)  

x > -3

Therefore, the solution for the inequality is given as follows;

-3< x <5

The possible values are;

-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: