Penelope needs to order some new supplies for the restaurant where she works. The restaurant needs at least 468 spoons. There are currently 256 spoons. If each set on sale contains 8 spoons, write and solve an inequality which can be used to determine xx, the number of sets of spoons Penelope could buy for the restaurant to have enough spoons.

256 +8x ≥ 468

x ≥ 26

Step-by-step explanation:

Let x be the number of sets of spoons

Using the information given(number of spoons already, x and the amount of spoons needed)

256 +8x ≥ 468

8x ≥ 213

x ≥ 26

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x