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Popular >

6|5x+1|+9>= 39

Solution

6 ∣ 5 x + 1 ∣ + 9 \geq 39

Solution

x \leq - \frac{6}{5} or x \geq \frac{4}{5}

+2

Interval Notation

(- \infty, - \frac{6}{5}] \cup [\frac{4}{5}, \infty)

Decimal Notation

x \leq - 1.2 or x \geq 0.8

Solution steps

6 ∣ 5 x + 1 ∣ + 9 \geq 39

Move

9

to the right side

6 ∣ 5 x + 1 ∣ \geq 30

Divide both sides by

6

∣ 5 x + 1 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - \frac{6}{5} or x \geq \frac{4}{5}

Popular Examples

simplify 3/4*1 simplify

\frac{3}{4} \cdot 1

x^{2} = 1 5^{2} - 8^{2}

\frac{3}{x} > 4

simplify 32^{4/5}simplify

3 2^{\frac{4}{5}}

simplify sqrt(100/9)simplify

\frac{100}{9}

Frequently Asked Questions (FAQ)

What is 6|5x+1|+9>= 39 ?
The solution to 6|5x+1|+9>= 39 is x<=-6/5 \lor x>= 4/5