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Popular >

|-8x+5|>= 12

Solution

∣ - 8 x + 5 ∣ \geq 12

Solution

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

+2

Interval Notation

(- \infty, - \frac{7}{8}] \cup [\frac{17}{8}, \infty)

Decimal Notation

x \leq - 0.875 or x \geq 2.125

Solution steps

∣ - 8 x + 5 ∣ \geq 12

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

- 8 x + 5 \leq - 12 or - 8 x + 5 \geq 12

- 8 x + 5 \leq - 12 or - 8 x + 5 \geq 12

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

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Frequently Asked Questions (FAQ)

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