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Popular >

|5x+2|-3>9

Solution

∣ 5 x + 2 ∣ - 3 > 9

Solution

x < - \frac{14}{5} or x > 2

+2

Interval Notation

(- \infty, - \frac{14}{5}) \cup (2, \infty)

Decimal Notation

x < - 2.8 or x > 2

Solution steps

∣ 5 x + 2 ∣ - 3 > 9

Move

3

to the right side

∣ 5 x + 2 ∣ > 12

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

5 x + 2 < - 12 or 5 x + 2 > 12

5 x + 2 < - 12 or 5 x + 2 > 12

x < - \frac{14}{5} or x > 2

Popular Examples

factor c^2+5c+6 factor

c^{2} + 5 c + 6

\frac{a}{5} + 3 = 8

2+3/5 (-9x-3)>-3x-5/2

2 + \frac{3}{5} (- 9 x - 3) > - 3 x - \frac{5}{2}

factor p^2-10p+9 factor

p^{2} - 10 p + 9

simplify (-9xy^5z^3)/(36xy^4z^5)simplify

\frac{- 9 x y ^{5} z ^{3}}{36 x y ^{4} z ^{5}}

Frequently Asked Questions (FAQ)

What is |5x+2|-3>9 ?
The solution to |5x+2|-3>9 is x<-14/5 \lor x>2