en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2x+3|-5>=-1

Solution

∣ 2 x + 3 ∣ - 5 \geq - 1

Solution

x \leq - \frac{7}{2} or x \geq \frac{1}{2}

+2

Interval Notation

(- \infty, - \frac{7}{2}] \cup [\frac{1}{2}, \infty)

Decimal Notation

x \leq - 3.5 or x \geq 0.5

Solution steps

∣ 2 x + 3 ∣ - 5 \geq - 1

Move

5

to the right side

∣ 2 x + 3 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 3 \leq - 4 or 2 x + 3 \geq 4

2 x + 3 \leq - 4 or 2 x + 3 \geq 4

x \leq - \frac{7}{2} or x \geq \frac{1}{2}

Popular Examples

factor-2x-8 factor

- 2 x - 8

\frac{x + 3}{x - 5} > 0

3 x^{2} - 12 x - 15 = 0

factor 2q^2+9q+7 factor

2 q^{2} + 9 q + 7

0.1(0.03x+4)>= 0.02x+0.434

0.1 (0.03 x + 4) \geq 0.02 x + 0.434

Frequently Asked Questions (FAQ)

What is |2x+3|-5>=-1 ?
The solution to |2x+3|-5>=-1 is x<=-7/2 \lor x>= 1/2