:do you think inequalities or equations are used more in everyday life? justify your answer. in your answer include literal equations. how is solving a literal equation different from a one- or two-step equation?

Equations are used more in every day life. We live in a capitalist society. We deal with money everyday and ambiguous costs are not acceptable. Whenever you buy or sell an item it's always for an calculated value never a range of values.

For literal equation example; How to calculate the price of an item, p after a discount rate d

x = p/(1-d) 

p = x(1 - d) 

Literal equations you solve for the formula, the new price of the item, p. So you have a general formula for finding the new price of an item on sale.
 
p = x(1 - d) 

when you have the formula you can then put in the values, calculate the discount price of items see relationships between variables.

if the original cost x is 100$ and discount is 10% how much will the item cost?

p = 100(1 - 0.10)
p = 100(0.9)
p = $90

In a one or two step equation there are numbers and only one unknown value to solve for. These can be solved in one or two steps according to the name.. There are no values to substitute for variables.

One step equation: (unknown solved for in one step)
5x = 25
divide by 5
x = 5

Two Step equation: (unknown solved for in two steps)
2x - 8 = 10
add 8
2x = 18
divide by 2
x = 9

Step-by-step explanation:

A) QSP  and RSP are simular

B) Because the line PS is at a right angle to  QR.. angle S for each triangle is the same.. and since  the angle for P for each triangle is also the same so... angle Q and R have to be the same ... so they are the same/ similar triangles

C)  .. they have to have the same proportions as each other sooo..

so one triangle is 3x the size of the other..  but.. for some odd reason they are not asking about the bigger triangle..so we don't need to know that RQ=16... they want to know the hypotenuse of the given triangle with 4 on one of the legs.. soooo = 5.6568....