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Popular >

|4-5x|+5>= 8

Solution

∣ 4 - 5 x ∣ + 5 \geq 8

Solution

x \leq \frac{1}{5} or x \geq \frac{7}{5}

+2

Interval Notation

(- \infty, \frac{1}{5}] \cup [\frac{7}{5}, \infty)

Decimal Notation

x \leq 0.2 or x \geq 1.4

Solution steps

∣ 4 - 5 x ∣ + 5 \geq 8

Move

5

to the right side

∣ 4 - 5 x ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 - 5 x \leq - 3 or 4 - 5 x \geq 3

4 - 5 x \leq - 3 or 4 - 5 x \geq 3

x \leq \frac{1}{5} or x \geq \frac{7}{5}

Popular Examples

factor 9x^2+30+25 factor

9 x^{2} + 30 + 25

t + 4 = 1

simplify (e^{9i}-e^{-9i})/(2i)simplify

\frac{e ^{9 i} - e ^{- 9 i}}{2 i}

(6(2)^2-1)/(2^2)

\frac{6 ( 2 ) ^{2} - 1}{2 ^{2}}

8 r < 16

Frequently Asked Questions (FAQ)

What is |4-5x|+5>= 8 ?
The solution to |4-5x|+5>= 8 is x<= 1/5 \lor x>= 7/5