Veronica is ordering trophies for her school. Company P charges $3.50 for each trophy and a one-time engraving fee of $25. Company R charges $7.50 for each trophy and a one-time engraving fee of $17. Which inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at Company P is less than the total charge at Company R?

Required inequality :

Solution: x<2.

Step-by-step explanation:

Let x = number of trophies.

Company P charges $3.50 for each trophy and a one-time engraving fee of $25.

Total charge for x trophies from Company P=

Company R charges $7.50 for each trophy and a one-time engraving fee of $17.

Total charge for x trophies from Company R =

When total charge at Company P is less than the total charge at Company R, then

Required inequality :

Solution: x<2.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x