Final answer:
To express the set -4x + 40 < 4x + 16 using interval notation, we need to solve the inequality for x by isolating the variable and performing the necessary operations. The solution is x > 3, which can be expressed in interval notation as (3, infinity).
Step-by-step explanation:
To express the set -4x + 40 < 4x + 16 using interval notation, we need to solve the inequality for x.
First, let's isolate the variable x by subtracting 4x from both sides: 40 < 8x + 16. Next, we subtract 16 from both sides: 24 < 8x. Finally, we divide both sides by 8 to solve for x: 3 < x.
In interval notation, this can be written as (3, infinity), meaning x is greater than 3.