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

Part A: if x = 3 then 4(3) - 1 = 11.

The first equation has a less then or equal to symbol so since 11 fits into that range it works. The second equation has only a less then symbol and 11 is not less then 11.

Part B: put each value in the set into the equation as x and see if the equation is true.

Since it is just equal to, there should only be one answer.

8(4) + 1 = 33
8(5) + 1 = 41
8(6) + 1 = 49
8(7) + 1 = 57
8(8) + 1 = 64

Therefore the only value from the set that is correct is 7