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Popular >

|1-5x|+2>= 9

Solution

∣ 1 - 5 x ∣ + 2 \geq 9

Solution

x \leq - \frac{6}{5} or x \geq \frac{8}{5}

+2

Interval Notation

(- \infty, - \frac{6}{5}] \cup [\frac{8}{5}, \infty)

Decimal Notation

x \leq - 1.2 or x \geq 1.6

Solution steps

∣ 1 - 5 x ∣ + 2 \geq 9

Move

2

to the right side

∣ 1 - 5 x ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

1 - 5 x \leq - 7 or 1 - 5 x \geq 7

1 - 5 x \leq - 7 or 1 - 5 x \geq 7

x \leq - \frac{6}{5} or x \geq \frac{8}{5}

Popular Examples

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\frac{13 !}{5 !}

simplify \sqrt[3]{-6}simplify

\frac{x}{4} = \frac{5}{6}

- 12 \geq 24 x

factor-14a+2b factor

- 14 a + 2 b

Frequently Asked Questions (FAQ)

What is |1-5x|+2>= 9 ?
The solution to |1-5x|+2>= 9 is x<=-6/5 \lor x>= 8/5