Question

Part A: Explain why x = 5 makes 4x - 1 3 19 true but not 4x - 1 19

Answer 1

Answer:

Part A: Explain why x = 5 makes 4x - 1 ≤ 19 true but not 4x - 1 < 19

Part B: x=9

Step-by-step explanation:

Part A: Because the first one is less than or equal to 19 and the other is just      less than.

x = 5

TRUE:   4x - 1 ≤ 19    =    20-1 ≤ 19    =    19 ≤ 19  

             19 is less than or equal to 19 so its true

FALSE:  4x - 1 < 19    =    19 < 19  

              19 is not greater than 19

Part B:  

5x + 2 = 47  subtract 2 from both sides

5x = 45  divide both sides by 5

x = 9

To check we can plug it back in

5x + 2 = 47

5(9) + 2 = 47

45 + 2 = 47

47 = 47

TRUE