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Popular >

|2x-7|-3>2

Solution

∣ 2 x - 7 ∣ - 3 > 2

Solution

x < 1 or x > 6

+1

Interval Notation

(- \infty, 1) \cup (6, \infty)

Solution steps

∣ 2 x - 7 ∣ - 3 > 2

Move

3

to the right side

∣ 2 x - 7 ∣ > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 7 < - 5 or 2 x - 7 > 5

2 x - 7 < - 5 or 2 x - 7 > 5

x < 1 or x > 6

Popular Examples

factor 4x-x^3 factor

4 x - x^{3}

simplify (7/3)^{-2}simplify

(\frac{7}{3})^{- 2}

(5x-8)/(x-1)>= (7x-4)/(x+2)

\frac{5 x - 8}{x - 1} \geq \frac{7 x - 4}{x + 2}

simplify 4/3 pi simplify

\frac{4}{3} π

24(4t+1.4)^2-79(4t+1.4)+20=15543

24 (4 t + 1.4)^{2} - 79 (4 t + 1.4) + 20 = 15543

Frequently Asked Questions (FAQ)

What is |2x-7|-3>2 ?
The solution to |2x-7|-3>2 is x<1\lor x>6