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9 votes
Solve the inequality.
-3(4n+1) < -6(2n-6)

User Igouy
by
9.2k points

2 Answers

5 votes

Answer:

no solution

Explanation:

Given :

-3(4n+1) < -6(2n-6)

Divide by -3 on each side (and remember to change the sign) :

-1/3 x -3(4n+1) < -1/3 x -6(2n-6)

4n + 1 > 2(2n - 6)

Expand the RHS :

4n + 1 > 2(2n) - 2(6)

4n + 1 > 4n - 12

Solution :

As the coefficient of x is the same on both sides, and the constants are different, this inequality has no solution

User Mindthief
by
8.0k points
1 vote

Answer:

Given inequality:

-3(4n + 1) < -6(2n - 6)

Expand the brackets:

⇒ -12n - 3 < -12n + 36

Add 12n to both sides:

⇒ -12n - 3 + 12n < -12n + 36 + 12n

⇒ -3 < 36

Solution: True for all n

Interval Notation: (-∞, ∞)

User Kurt Telep
by
8.1k points

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