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Popular >

|8-5x|+5>= 6

Solution

∣ 8 - 5 x ∣ + 5 \geq 6

Solution

x \leq \frac{7}{5} or x \geq \frac{9}{5}

+2

Interval Notation

(- \infty, \frac{7}{5}] \cup [\frac{9}{5}, \infty)

Decimal Notation

x \leq 1.4 or x \geq 1.8

Solution steps

∣ 8 - 5 x ∣ + 5 \geq 6

Move

5

to the right side

∣ 8 - 5 x ∣ \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

8 - 5 x \leq - 1 or 8 - 5 x \geq 1

8 - 5 x \leq - 1 or 8 - 5 x \geq 1

x \leq \frac{7}{5} or x \geq \frac{9}{5}

Popular Examples

3 x^{2} + 10 x = 4

simplify (13!)/(5!(13-5)!)simplify

\frac{13 !}{5 ! ( 13 - 5 ) !}

simplify-20/20 simplify

- \frac{20}{20}

(x+5)/(x+3)>= 0

\frac{x + 5}{x + 3} \geq 0

(x - 3) (x - 5) = 35

Frequently Asked Questions (FAQ)

What is |8-5x|+5>= 6 ?
The solution to |8-5x|+5>= 6 is x<= 7/5 \lor x>= 9/5