en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-|9+3x|+3<= 0

Solution

- ∣ 9 + 3 x ∣ + 3 \leq 0

Solution

x \leq - 4 or x \geq - 2

+1

Interval Notation

(- \infty, - 4] \cup [- 2, \infty)

Solution steps

- ∣ 9 + 3 x ∣ + 3 \leq 0

Move

3

to the right side

- ∣ 9 + 3 x ∣ \leq - 3

Multiply both sides by

- 1

∣ 9 + 3 x ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

9 + 3 x \leq - 3 or 9 + 3 x \geq 3

9 + 3 x \leq - 3 or 9 + 3 x \geq 3

x \leq - 4 or x \geq - 2

Popular Examples

simplify (e^x)/(e^y)simplify

\frac{e ^{x}}{e ^{y}}

simplify-(-1)*c^3b^{21}simplify

- (- 1) \cdot c^{3} b^{21}

simplify sqrt(55/64)simplify

\frac{55}{64}

simplify (7a^5b^6c)/(14a^5b^9)simplify

\frac{7 a ^{5} b ^{6} c}{14 a ^{5} b ^{9}}

2 x^{2} - 3 = - 101

Frequently Asked Questions (FAQ)

What is -|9+3x|+3<= 0 ?
The solution to -|9+3x|+3<= 0 is x<=-4\lor x>=-2