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Popular >

|8x-5|<= 6

Solution

∣ 8 x - 5 ∣ \leq 6

Solution

- \frac{1}{8} \leq x \leq \frac{11}{8}

+2

Interval Notation

[- \frac{1}{8}, \frac{11}{8}]

Decimal Notation

- 0.125 \leq x \leq 1.375

Solution steps

∣ 8 x - 5 ∣ \leq 6

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 6 \leq 8 x - 5 \leq 6

8 x - 5 \geq - 6 and 8 x - 5 \leq 6

x \geq - \frac{1}{8} and x \leq \frac{11}{8}

Merge Overlapping Intervals

- \frac{1}{8} \leq x \leq \frac{11}{8}

Popular Examples

m = - \frac{1}{3} + 1

factor 4m^2-9 factor

4 m^{2} - 9

simplify 2*50 simplify

2 \cdot 50

factor a^2+12a+27 factor

a^{2} + 12 a + 27

factor 12x^{-1/2}+7x^{1/2}+x^{3/2}factor

12 x^{- \frac{1}{2}} + 7 x^{\frac{1}{2}} + x^{\frac{3}{2}}

Frequently Asked Questions (FAQ)

What is |8x-5|<= 6 ?
The solution to |8x-5|<= 6 is -1/8 <= x<= 11/8