Question

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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

Answer 2

1) 4x-5≤19
If we substitute, x= 6
We get
4*6-5= 19,
so it is going to be true for, 4x-5≤19, 4*6-5≤19, 19≤19, True.

But when we substitute in 4x-5<19, 4*6-5<19, 19<19 False, because 19=19.

2) 4x+3 = 23
4x+3 - 3 = 23 - 3
4x =20
4x/4 =20/4
x=5

5 makes this equation true.

Check: 4*5+3 = 23,  20+3=23, 23=23 True.