The local appliance store is offering 20% off an entire purchase of $3000 or more or 40% off a single item of $1500 or more. use the prices listed to determine which offer will save the most money on these appliances.

After comparing these two discounts with their minimal amounts (3,000 and 1,500) a customer will save exactly the same amount: US$ 600.

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Discount given by the local appliance store for entire purchases ≥ US$ 3,000 = 20% off

Discount given by the local appliance store for single items ≥ US$ 1,500 = 40% off

2. Let's calculate which offer will save most money on these appliances

A. Discount for entire purchases≥ US$ 3,000

Discount = Purchase * 20% off

Discount = 3,000 * 20% = 3,000 * 0.2 = 600

If a customer purchases US$ 3,000 on an entire purchase of several items, he or she will save US$ 600

B. Discount for single items ≥ US$ 1,500

Discount = Purchase * 40% off

Discount = 1,500 * 40% = 1,500 * 0.4 = 600

If a customer purchases a single item of US$ 1,500, he or she will save US$ 600

C. Conclusion: After comparing these two discounts with their minimal amounts (3,000 and 1,500) a customer will save exactly the same amount: US$ 600.

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