Solve the following inequality. Use interval notation.
1 answer:
9514 1404 393
Answer:
(-∞, -1/3) U (3, ∞)
Step-by-step explanation:
The given inequality is equivalent to two inequalities (joined with OR).
<u>-(3x -4) +3 ≥ 8</u>
-3x +7 ≥ 8 . . . . . . eliminate parentheses
-3x ≥ 1 . . . . . . . subtract 7
x ≤ -1/3 . . . . . divide by 3
<u>3x -4 +3 ≥ 8</u>
3x ≥ 9 . . . . . add 1
x ≥ 3 . . . . . . divide by 3
Then the solution to the inequality is the union of these intervals:
x ∈ (-∞, -1/3) ∪ (3, ∞)
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Answer:
277,200
Step-by-step explanation:
To find the number of permutation we can form from the letters of the word "engineering", we first need to find the frequencies of the different letters present.
E = 3
G = 2
N= 3
I = 2
R = 1
Now that we have the frequencies, we count the number of letters in the word "engineering".
E N G I N E E R I N G
11 letters
Now we take the factorial of total number of letters and divide it by the number of repeats and their factorial
So we get:
We remove the 1! because it will just yield 1.
So the total number of permutations from the letters of the word "engineering" will be:
Total number of permutations =
Total number of permutations = 277,200