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
1/2a - 7 + 1/2 a = 1/3
1/2a + 1/2a = 1/3 + 7
2/2a = 22/3
a = 22/3
So first you multiply 2 and 4x to get 8x. Then you multiply 2 and 5 to get 10. So the problem will look like:
8x+10=90
Then you subtract 10 on both sides of the problem to get:
8x=80
And then divide 8 on both sides to get
x=10
Answer:
C
Step-by-step explanation:
Let y represent the number of hours Maria works in a pay period.
Maria earns $5 per hour, then Maria earns
in y hours.
She spends one-third of each paycheck on books. One-third of
is

Step-by-step explanation:
you just have to use the definition of union and cross section