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Popular >

|6x-17|+3>16

Solution

∣ 6 x - 17 ∣ + 3 > 16

Solution

x < \frac{2}{3} or x > 5

+2

Interval Notation

(- \infty, \frac{2}{3}) \cup (5, \infty)

Decimal Notation

x < 0.66666 \dots or x > 5

Solution steps

∣ 6 x - 17 ∣ + 3 > 16

Move

3

to the right side

∣ 6 x - 17 ∣ > 13

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

6 x - 17 < - 13 or 6 x - 17 > 13

6 x - 17 < - 13 or 6 x - 17 > 13

x < \frac{2}{3} or x > 5

Popular Examples

(x - 8)^{2} - 64 = 0

simplify (sqrt(3)+2)^2+1/((sqrt(3)+2)^2)simplify

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

5 (- 5 b - 1) + 6 > 70

simplify 3^{2.5}simplify

3^{2.5}

∣ 5 x + 4 ∣ - 11 = - 5

Frequently Asked Questions (FAQ)

What is |6x-17|+3>16 ?
The solution to |6x-17|+3>16 is x< 2/3 \lor x>5