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Popular >

|2x-5|+2>5

Solution

∣ 2 x - 5 ∣ + 2 > 5

Solution

x < 1 or x > 4

+1

Interval Notation

(- \infty, 1) \cup (4, \infty)

Solution steps

∣ 2 x - 5 ∣ + 2 > 5

Move

2

to the right side

∣ 2 x - 5 ∣ > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 5 < - 3 or 2 x - 5 > 3

2 x - 5 < - 3 or 2 x - 5 > 3

x < 1 or x > 4

Popular Examples

5 x (x + 6) = - 50

6-3/4 x+1/3 = 1/2 x+5

6 - \frac{3}{4} x + \frac{1}{3} = \frac{1}{2} x + 5

factor a^3+a^2b-ab^2-b^3 factor

a^{3} + a^{2} b - a b^{2} - b^{3}

factor 9-12i factor

9 - 12 i

(2x)/3 =(5x)/(12)-2

\frac{2 x}{3} = \frac{5 x}{12} - 2

Frequently Asked Questions (FAQ)

What is |2x-5|+2>5 ?
The solution to |2x-5|+2>5 is x<1\lor x>4