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Popular >

|2-5x|>= 17

Solution

∣ 2 - 5 x ∣ \geq 17

Solution

x \leq - 3 or x \geq \frac{19}{5}

+2

Interval Notation

(- \infty, - 3] \cup [\frac{19}{5}, \infty)

Decimal Notation

x \leq - 3 or x \geq 3.8

Solution steps

∣ 2 - 5 x ∣ \geq 17

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 - 5 x \leq - 17 or 2 - 5 x \geq 17

2 - 5 x \leq - 17 or 2 - 5 x \geq 17

x \leq - 3 or x \geq \frac{19}{5}

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3 x^{2} - 23 x + 30

4 x \leq 15 - 3 x^{2}

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\frac{( 1.1 ) ^{3} - 1}{( 1.1 ) - 1}

Frequently Asked Questions (FAQ)

What is |2-5x|>= 17 ?
The solution to |2-5x|>= 17 is x<=-3\lor x>= 19/5