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Popular >

|8x-5|<= 12

Solution

∣ 8 x - 5 ∣ \leq 12

Solution

- \frac{7}{8} \leq x \leq \frac{17}{8}

+2

Interval Notation

[- \frac{7}{8}, \frac{17}{8}]

Decimal

- 0.875 \leq x \leq 2.125

Solution steps

∣ 8 x - 5 ∣ \leq 12

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 12 \leq 8 x - 5 \leq 12

8 x - 5 \geq - 12 and 8 x - 5 \leq 12

x \geq - \frac{7}{8} and x \leq \frac{17}{8}

Merge Overlapping Intervals

- \frac{7}{8} \leq x \leq \frac{17}{8}

Graph

Popular Examples

4 x^{2} + 13 x - 75 = 0

-2<= 3(2y-1)<= 7

- 2 \leq 3 (2 y - 1) \leq 7

simplify k/(k^5)simplify

\frac{k}{k ^{5}}

factor 27-1/8 y^9 factor

27 - \frac{1}{8} y^{9}

simplify 8x^{-3}simplify

8 x^{- 3}

Frequently Asked Questions (FAQ)

What is |8x-5|<= 12 ?
The solution to |8x-5|<= 12 is -7/8 <= x<= 17/8