Part a: explain why x = 5 makes 4x − 1 ≤ 19 true but not 4x − 1 < 19.

part b: what value from the set {6, 7, 8, 9, 10} makes the equation 5x + 2 = 47 true? show your work.

Step-by-step explanation:

Part A:  Substituting 5 for x in 4x − 1 ≤ 19 yields 4(5) - 1 ≤ 19, which is true.  Read, "19 is less than or equal to 19," which is obviously correct.

However, 4x − 1 < 19 reads "19 < 19," which is false.

Part B:  I would simply solve 5x + 2 = 47 for x.  Subtracting 2 from both sides, we get 5x = 45, so x = 9 is the one and only solution (makes the equation true).

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