Part A : Explain why x = 6 makes 4x − 5 ≤ 19 true but not 4x − 5 < 19.

Note : 4(6) - 5 = 24 - 5 = 19 ....so.....the first is true but not the second

Part B: What value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true?

4x + 3 = 23 subtract 3 from both sides

4x = 20 divide both sides by

x = 5