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Popular >

|6x-4|<= 8

Solution

∣ 6 x - 4 ∣ \leq 8

Solution

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

+2

Interval Notation

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

Decimal Notation

- 0.66666 \dots \leq x \leq 2

Solution steps

∣ 6 x - 4 ∣ \leq 8

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 8 \leq 6 x - 4 \leq 8

6 x - 4 \geq - 8 and 6 x - 4 \leq 8

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

Merge Overlapping Intervals

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

Popular Examples

x^{2} + 20 x + 94 = 0

2 z + 4 (z + 1) = 5 - 0 z

factor 64v^4-225w^{10}factor

64 v^{4} - 225 w^{10}

factor 36x^2y-9y factor

36 x^{2} y - 9 y

simplify 125^{(-3)/4}*5^{(-3)/4}simplify

12 5^{\frac{- 3}{4}} \cdot 5^{\frac{- 3}{4}}

Frequently Asked Questions (FAQ)

What is |6x-4|<= 8 ?
The solution to |6x-4|<= 8 is -2/3 <= x<= 2