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Popular >

|3-2x|>= 4

Solution

∣ 3 - 2 x ∣ \geq 4

Solution

x \leq - \frac{1}{2} or x \geq \frac{7}{2}

+2

Interval Notation

(- \infty, - \frac{1}{2}] \cup [\frac{7}{2}, \infty)

Decimal Notation

x \leq - 0.5 or x \geq 3.5

Solution steps

∣ 3 - 2 x ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 - 2 x \leq - 4 or 3 - 2 x \geq 4

3 - 2 x \leq - 4 or 3 - 2 x \geq 4

x \leq - \frac{1}{2} or x \geq \frac{7}{2}

Popular Examples

simplify 4/(n-2)+2/(4n-4)simplify

\frac{4}{n - 2} + \frac{2}{4 n - 4}

simplify-(5/4)^4 simplify

- (\frac{5}{4})^{4}

simplify 4(1/2)^3 simplify

4 (\frac{1}{2})^{3}

x^{2} - 44 = 0

4 y + 3 y^{2} = 15

Frequently Asked Questions (FAQ)

What is |3-2x|>= 4 ?
The solution to |3-2x|>= 4 is x<=-1/2 \lor x>= 7/2