Which of the following is the graph of the solution set of t – 4 ≥ 4t + 8 or 3t >14 – 4t?
1 answer:
Answer:
Option (C)
Step-by-step explanation:
There are two inequalities,
t - 4 ≥ 4t + 8 ------(1)
3t > 14 - 4t ------(2)
By simplifying inequality (1),
t - 4 ≥ 4t + 8
t ≥ 4t + 8 + 4
t ≥ 4t + 12
t - 4t ≥ 12
-3t ≥ 12
t ≤
t ≤ -4
By solving inequality (2),
3t > 14 - 4t
3t + 4t > 14
7t > 14
t >
t > 2
From the given graphs, Option (C) will be the answer.
You might be interested in
Answer:
x=3
Step-by-step explanation:
The approach is not very different from regular fractions.
You have to get to a common denominator to be able to add them.
10 is a good denominator (multiply the denominators).
multiply the first term by 5, and the second one by 2:
7x + 9 = 30
7x = 30 - 9
x = 3
let me know if you need more details on one of the steps