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Popular >

3+|2x-1|>3

Solution

3 + ∣ 2 x - 1 ∣ > 3

Solution

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

+2

Interval Notation

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

Decimal Notation

x < 0.5 or x > 0.5

Solution steps

3 + ∣ 2 x - 1 ∣ > 3

Subtract

3

from both sides

3 + ∣ 2 x - 1 ∣ - 3 > 3 - 3

Simplify

∣ 2 x - 1 ∣ > 0

Apply absolute rule: If

∣ u ∣ > 0

then

u < 0

or

u > 0

2 x - 1 < 0 or 2 x - 1 > 0

2 x - 1 < 0 or 2 x - 1 > 0

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

Popular Examples

x^{2} - 4 x + 2 < 0

simplify 8^{(3/2)}simplify

8^{(\frac{3}{2})}

2 (x + 5) = 2 x + 5

2 x^{2} - 41 = 0

factor x^2-6x+9-y^2 factor

x^{2} - 6 x + 9 - y^{2}

Frequently Asked Questions (FAQ)

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