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Popular >

|8x-9|>= 1

Solution

∣ 8 x - 9 ∣ \geq 1

Solution

x \leq 1 or x \geq \frac{5}{4}

+2

Interval Notation

(- \infty, 1] \cup [\frac{5}{4}, \infty)

Decimal Notation

x \leq 1 or x \geq 1.25

Solution steps

∣ 8 x - 9 ∣ \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

8 x - 9 \leq - 1 or 8 x - 9 \geq 1

8 x - 9 \leq - 1 or 8 x - 9 \geq 1

x \leq 1 or x \geq \frac{5}{4}

Popular Examples

x^{2} + 14 x + 44 = 0

-7x+2=3*(1-2x)+5*(-3-x)

- 7 x + 2 = 3 \cdot (1 - 2 x) + 5 \cdot (- 3 - x)

\frac{1}{4} (k - 1) = 7

(x - 5)^{2} = 64

simplify (3/2 d^{-2}f^4)^4(-4/3 d^5f)^3 simplify

(\frac{3}{2} d^{- 2} f^{4})^{4} (- \frac{4}{3} d^{5} f)^{3}

Frequently Asked Questions (FAQ)

What is |8x-9|>= 1 ?
The solution to |8x-9|>= 1 is x<= 1\lor x>= 5/4