Question

please help
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.

Answer 1

Part A :

4x - 1 <= 11.....when x = 3 4x - 1 < 11....when x = 3
4(3) - 1 <= 11 4(3) - 1 < 11
12 - 1 <= 11 12 - 1 < 11
11 = 11 (correct) 11 < 11 (false...because 11 is not less then 11)

Part B :
8x + 1 = 57 --- subtract 1 from both sides
8x = 57 - 1
8x = 56 -- divide both sides by 8
x = 7.....any other value for x will not work

Answer 2

oops..part A....because 11 is not less then 11, it is equal

Answer 3

can I ask u 3 more? @texaschic101