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Popular >

2<= |5-3x|-17

Solution

2 \leq ∣ 5 - 3 x ∣ - 17

Solution

x \leq - \frac{14}{3} or x \geq 8

+2

Interval Notation

(- \infty, - \frac{14}{3}] \cup [8, \infty)

Decimal Notation

x \leq - 4.66666 \dots or x \geq 8

Solution steps

2 \leq ∣ 5 - 3 x ∣ - 17

Switch sides

∣ 5 - 3 x ∣ - 17 \geq 2

Move

17

to the right side

∣ 5 - 3 x ∣ \geq 19

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 - 3 x \leq - 19 or 5 - 3 x \geq 19

5 - 3 x \leq - 19 or 5 - 3 x \geq 19

x \leq - \frac{14}{3} or x \geq 8

Popular Examples

11 = ∣ m + 6 ∣

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- \frac{3}{4} (- 4)

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4 x^{3} - 12 x^{2} + 8 x

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- 6 + (- 3)

simplify 10sqrt(12)simplify

1012

Frequently Asked Questions (FAQ)

What is 2<= |5-3x|-17 ?
The solution to 2<= |5-3x|-17 is x<=-14/3 \lor x>= 8