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Popular >

|1-5x|+5>= 8

Solution

∣ 1 - 5 x ∣ + 5 \geq 8

Solution

x \leq - \frac{2}{5} or x \geq \frac{4}{5}

+2

Interval Notation

(- \infty, - \frac{2}{5}] \cup [\frac{4}{5}, \infty)

Decimal Notation

x \leq - 0.4 or x \geq 0.8

Solution steps

∣ 1 - 5 x ∣ + 5 \geq 8

Move

5

to the right side

∣ 1 - 5 x ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

1 - 5 x \leq - 3 or 1 - 5 x \geq 3

1 - 5 x \leq - 3 or 1 - 5 x \geq 3

x \leq - \frac{2}{5} or x \geq \frac{4}{5}

Popular Examples

factor 5w^3-3w^2-10w+6 factor

5 w^{3} - 3 w^{2} - 10 w + 6

simplify 9/2+5 simplify

\frac{9}{2} + 5

simplify-4-(-1)simplify

- 4 - (- 1)

3 m^{2} + 7 m = 2

factor 15a^2b-10ab^2 factor

15 a^{2} b - 10 a b^{2}

Frequently Asked Questions (FAQ)

What is |1-5x|+5>= 8 ?
The solution to |1-5x|+5>= 8 is x<=-2/5 \lor x>= 4/5