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Popular >

|2-5x|>= 3

Solution

∣ 2 - 5 x ∣ \geq 3

Solution

x \leq - \frac{1}{5} or x \geq 1

+2

Interval Notation

(- \infty, - \frac{1}{5}] \cup [1, \infty)

Decimal Notation

x \leq - 0.2 or x \geq 1

Solution steps

∣ 2 - 5 x ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 - 5 x \leq - 3 or 2 - 5 x \geq 3

2 - 5 x \leq - 3 or 2 - 5 x \geq 3

x \leq - \frac{1}{5} or x \geq 1

Popular Examples

factor 2y^2-7y+3 factor

2 y^{2} - 7 y + 3

\frac{x}{2} + 4 = 9

factor 4x^2+40x+100 factor

4 x^{2} + 40 x + 100

factor x^2-9x+81/4 factor

x^{2} - 9 x + \frac{81}{4}

factor m^2+m-90 factor

m^{2} + m - 90

Frequently Asked Questions (FAQ)

What is |2-5x|>= 3 ?
The solution to |2-5x|>= 3 is x<=-1/5 \lor x>= 1