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Popular >

|2x-6|>= 3

Solution

∣ 2 x - 6 ∣ \geq 3

Solution

x \leq \frac{3}{2} or x \geq \frac{9}{2}

+2

Interval Notation

(- \infty, \frac{3}{2}] \cup [\frac{9}{2}, \infty)

Decimal Notation

x \leq 1.5 or x \geq 4.5

Solution steps

∣ 2 x - 6 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x - 6 \leq - 3 or 2 x - 6 \geq 3

2 x - 6 \leq - 3 or 2 x - 6 \geq 3

x \leq \frac{3}{2} or x \geq \frac{9}{2}

Popular Examples

4(x+4)+6(x+5)=66

4 (x + 4) + 6 (x + 5) = 66

∣ 5 x - 10 ∣ \leq 15

4 x^{2} + 16 = 0

simplify ((3x)/2)^2 simplify

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

simplify (6b-5)/(8b)-(3b-4)/(6b)simplify

\frac{6 b - 5}{8 b} - \frac{3 b - 4}{6 b}

Frequently Asked Questions (FAQ)

What is |2x-6|>= 3 ?
The solution to |2x-6|>= 3 is x<= 3/2 \lor x>= 9/2