Question

Part A: Explain why x = 3 makes 4x − 1 ≤ 11 true but not 4x − 1 < 11. (5 points)

Part B: What value from the set {4, 5, 6, 7, 8} makes the equation 8x + 1 = 57 true? Show your work. (5 points)

Answer 1

4(3)-1 = 11
11 = 11

Part B:
8x = 56
x = 7 (answer).

Answer 2

ty

Answer 3

I need it to be explained in word

Answer 4

4x − 1 ≤ 11
This means that 4x-1 can be less than OR equal to 11. (note the usage of the word "or")
When x = 4, 4x-1 = 11. Hence x=4 satisfies the inequality.

Answer 5

Part B: Simply explain that x=7 is the only solution of the equation 8x + 1 = 57.

Answer 6

oh ok thx :D