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Popular >

5|2x-3|-1>9

Solution

5 ∣ 2 x - 3 ∣ - 1 > 9

Solution

x < \frac{1}{2} or x > \frac{5}{2}

+2

Interval Notation

(- \infty, \frac{1}{2}) \cup (\frac{5}{2}, \infty)

Decimal Notation

x < 0.5 or x > 2.5

Solution steps

5 ∣ 2 x - 3 ∣ - 1 > 9

Move

1

to the right side

5 ∣ 2 x - 3 ∣ > 10

Divide both sides by

5

∣ 2 x - 3 ∣ > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 3 < - 2 or 2 x - 3 > 2

2 x - 3 < - 2 or 2 x - 3 > 2

x < \frac{1}{2} or x > \frac{5}{2}

Popular Examples

simplify 5xy-x^2t+2xy+3x^2t simplify

5 x y - x^{2} t + 2 x y + 3 x^{2} t

simplify-(1.2(10))/((0.01(10)^2+1)^2)simplify

- \frac{1.2 ( 10 )}{( 0.01 ( 10 ) ^{2} + 1 ) ^{2}}

factor 8x^3+27 factor

8 x^{3} + 27

((x^2-1))/2-11x=11

\frac{( x ^{2} - 1 )}{2} - 11 x = 11

3 s = \frac{14}{3}

Frequently Asked Questions (FAQ)

What is 5|2x-3|-1>9 ?
The solution to 5|2x-3|-1>9 is x< 1/2 \lor x> 5/2