Question

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

Part B: What value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true? Show your work. (5 points)

Answer 1

Part A: x = 6 makes 4x − 5 ≤ 19 true, because 4(6) = 24 - 5 = 19. The other one does not have a less than equal sign, and so is false (for 19 = 19)

Part B: 4x + 3 = 23

Isolate the x.

First subtract 3 from both sides

4x + 3 (-3) = 23 (-3)

4x = 23 - 3

4x = 20

divide 4 from both sides to isolate the x

4x/4 = 20/4

x = 20/4

x = 5

5 is your answer

hope this helps