Regina has $25 to buy groceries. she needs 3 cans of dog food, a gallon of milk, 5 pounds of chicken, a box of cereal, and 6 rolls of paper towels. the prices of the items are as follows: dog food—$1.50 a can; milk—$4 a gallon; chicken—$1.55 a pound; cereal—$2.75 a box; paper towels—99 cents a roll. will regina have enough money for all the items she needs? if not, how much more will she need? (note: remember that there are 100 cents in a dollar.)

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.