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Popular >

6+|6x-1|<= 11

Solution

6 + ∣ 6 x - 1 ∣ \leq 11

Solution

- \frac{2}{3} \leq x \leq 1

+2

Interval Notation

[- \frac{2}{3}, 1]

Decimal Notation

- 0.66666 \dots \leq x \leq 1

Solution steps

6 + ∣ 6 x - 1 ∣ \leq 11

Move

6

to the right side

∣ 6 x - 1 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq 6 x - 1 \leq 5

6 x - 1 \geq - 5 and 6 x - 1 \leq 5

x \geq - \frac{2}{3} and x \leq 1

Merge Overlapping Intervals

- \frac{2}{3} \leq x \leq 1

Popular Examples

factor 3x^4-48y^2z^2 factor

3 x^{4} - 48 y^{2} z^{2}

simplify-2+12 simplify

- 2 + 12

factor x^2+9xy-22y^2 factor

x^{2} + 9 x y - 22 y^{2}

2 y^{2} - 4 y - 6 = 0

simplify-1-1/4 simplify

- 1 - \frac{1}{4}

Frequently Asked Questions (FAQ)

What is 6+|6x-1|<= 11 ?
The solution to 6+|6x-1|<= 11 is -2/3 <= x<= 1