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Popular >

9|3n-2|+6>51

Solution

9 ∣ 3 n - 2 ∣ + 6 > 51

Solution

n < - 1 or n > \frac{7}{3}

+2

Interval Notation

(- \infty, - 1) \cup (\frac{7}{3}, \infty)

Decimal Notation

n < - 1 or n > 2.33333 \dots

Solution steps

9 ∣ 3 n - 2 ∣ + 6 > 51

Move

6

to the right side

9 ∣ 3 n - 2 ∣ > 45

Divide both sides by

9

∣ 3 n - 2 ∣ > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

3 n - 2 < - 5 or 3 n - 2 > 5

3 n - 2 < - 5 or 3 n - 2 > 5

n < - 1 or n > \frac{7}{3}

Popular Examples

(x+5)/3-1/2 x+3(2x-1/2)=5(x/2-2)

\frac{x + 5}{3} - \frac{1}{2} x + 3 (2 x - \frac{1}{2}) = 5 (\frac{x}{2} - 2)

simplify 24*7 simplify

24 \cdot 7

simplify (y/6)^2 simplify

(\frac{y}{6})^{2}

(144+9(0+3)^2)/(16)

\frac{144 + 9 ( 0 + 3 ) ^{2}}{16}

n^2=1*1000000*60

n^{2} = 1 \cdot 1000000 \cdot 60

Frequently Asked Questions (FAQ)

What is 9|3n-2|+6>51 ?
The solution to 9|3n-2|+6>51 is n<-1\lor n> 7/3