en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(|3+2x|)/(5x)<= 1

Solution

\frac{∣ 3 + 2 x ∣}{5 x} \leq 1

Solution

x < 0

+1

Interval Notation

(- \infty, 0)

Solution steps

\frac{∣ 3 + 2 x ∣}{5 x} \leq 1

Move

1

to the left side

\frac{∣ 3 + 2 x ∣}{5 x} - 1 \leq 0

∣ 3 + 2 x ∣ \geq 0

If

\frac{a}{b} \leq 0 and a \geq 0

then

b < 0 or a = 0

5 x < 0 or ∣ 3 + 2 x ∣ = 0

5 x < 0 : x < 0

∣ 3 + 2 x ∣ = 0 : x = - \frac{3}{2}

Combine the intervals

x < 0 or x = - \frac{3}{2}

Merge Overlapping Intervals

x < 0

Popular Examples

t^{2} - 7 t + 10 = 0

5 x - 1 - 2 x = 3 x - 7

-3(-2x+23)+12=6(-4x+9)+9

- 3 (- 2 x + 23) + 12 = 6 (- 4 x + 9) + 9

∣ y - 2 ∣ \leq 1

simplify b^8(2b)^4 simplify

b^{8} (2 b)^{4}

Frequently Asked Questions (FAQ)

What is (|3+2x|)/(5x)<= 1 ?
The solution to (|3+2x|)/(5x)<= 1 is x<0