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Popular >

|5x-4|+1>= 9

Solution

∣ 5 x - 4 ∣ + 1 \geq 9

Solution

x \leq - \frac{4}{5} or x \geq \frac{12}{5}

+2

Interval Notation

(- \infty, - \frac{4}{5}] \cup [\frac{12}{5}, \infty)

Decimal Notation

x \leq - 0.8 or x \geq 2.4

Solution steps

∣ 5 x - 4 ∣ + 1 \geq 9

Move

1

to the right side

∣ 5 x - 4 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - \frac{4}{5} or x \geq \frac{12}{5}

Popular Examples

factor x^2+9x+81/4 factor

x^{2} + 9 x + \frac{81}{4}

factor 2x^2-4x-6 factor

2 x^{2} - 4 x - 6

factor s^3+3s^2+4s+12 factor

s^{3} + 3 s^{2} + 4 s + 12

factor-3a^3-9a^2-6a-18 factor

- 3 a^{3} - 9 a^{2} - 6 a - 18

\frac{t + 3}{15} = 3

Frequently Asked Questions (FAQ)

What is |5x-4|+1>= 9 ?
The solution to |5x-4|+1>= 9 is x<=-4/5 \lor x>= 12/5