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Popular >

|4x-8|>= 5

Solution

∣ 4 x - 8 ∣ \geq 5

Solution

x \leq \frac{3}{4} or x \geq \frac{13}{4}

+2

Interval Notation

(- \infty, \frac{3}{4}] \cup [\frac{13}{4}, \infty)

Decimal Notation

x \leq 0.75 or x \geq 3.25

Solution steps

∣ 4 x - 8 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 x - 8 \leq - 5 or 4 x - 8 \geq 5

4 x - 8 \leq - 5 or 4 x - 8 \geq 5

x \leq \frac{3}{4} or x \geq \frac{13}{4}

Popular Examples

\frac{x}{- 2} + 11 \leq 15

simplify (4*3^{-2})/(2^{-2)*3^{-1}}simplify

\frac{4 \cdot 3 ^{- 2}}{2 ^{- 2} \cdot 3 ^{- 1}}

300 - 0.15 A^{2} = 0

simplify sqrt(27)-sqrt(3)simplify

27 - 3

x - 8 = 32

Frequently Asked Questions (FAQ)

What is |4x-8|>= 5 ?
The solution to |4x-8|>= 5 is x<= 3/4 \lor x>= 13/4