Answer:
<em>Part A</em>: Explain why x = 5 makes 4x - 1 ≤ 19 true but not 4x - 1 < 19
<em>Part B: x=9</em>
Step-by-step explanation:
<u>Part A</u>: 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
<u>Part B:</u>
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