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.

Part A:
Plug the value in.
4(6)-5≤19
24-5≤19
19≤19
True

19 is less than or equal to 19 is true because 19=19. However, if you replace that with a less than symbol, it will be false because 19 is not less than 19.

Part B
4x+3=23
4x=20
x=5

Final 5
Isolate the variable by subtracting 3 from both sides and then dividing both sides by 4.