For Exercises 1 − 6 , choose the correct letter. What is the solution of − ( 3 n − 7 ) ≥ 4 written in set-builder notation? A. n ≤ 1 B. { 1 } c. { n ∣ n ≥ 1 } D. { n ∣ n ≤ 1 }
For Exercises 1 − 6 , choose the correct letter. What is the solution of − ( 3 n − 7 ) ≥ 4 written in set-builder notation? A. n ≤ 1 B. { 1 } c. { n ∣ n ≥ 1 } D. { n ∣ n ≤ 1 }
What is the solution of
−
(
3
n
−
7
)
≥
4
written in set-builder notation?
A.
n
≤
1
B.
{
1
}
c.
{
n
∣
n
≥
1
}
D.
{
n
∣
n
≤
1
}
Expert Solution & Answer
To determine
To solve the inequality −(3n−7)≥4 and to write the solution in set-builder notation.
Answer to Problem 1STP
Solution is {n/n≤1} and option D is correct.
Explanation of Solution
Given:
−(3n−7)≥4
Concept used:
When multiplying or dividing each side of an inequality by the same negative number, the direction of the inequality symbol must be reversed to produce an equivalent inequality.
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