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Popular >

|6x-11|+3>10

Solution

∣ 6 x - 11 ∣ + 3 > 10

Solution

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

+2

Interval Notation

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

Decimal Notation

x < 0.66666 \dots or x > 3

Solution steps

∣ 6 x - 11 ∣ + 3 > 10

Move

3

to the right side

∣ 6 x - 11 ∣ > 7

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

6 x - 11 < - 7 or 6 x - 11 > 7

6 x - 11 < - 7 or 6 x - 11 > 7

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

Popular Examples

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x^{2} - 19 x + 18 = 0

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x^{2} - 4 y^{2}

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\frac{e ^{x} \cdot e ^{x} + x ^{2}}{x ^{2}}

factor 36x^4-81y^2 factor

36 x^{4} - 81 y^{2}

Frequently Asked Questions (FAQ)

What is |6x-11|+3>10 ?
The solution to |6x-11|+3>10 is x< 2/3 \lor x>3