en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|4x-7|>= 6

Solution

∣ 4 x - 7 ∣ \geq 6

Solution

x \leq \frac{1}{4} or x \geq \frac{13}{4}

+2

Interval Notation

(- \infty, \frac{1}{4}] \cup [\frac{13}{4}, \infty)

Decimal Notation

x \leq 0.25 or x \geq 3.25

Solution steps

∣ 4 x - 7 ∣ \geq 6

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 x - 7 \leq - 6 or 4 x - 7 \geq 6

4 x - 7 \leq - 6 or 4 x - 7 \geq 6

x \leq \frac{1}{4} or x \geq \frac{13}{4}

Popular Examples

factor 12x^2-37x+28 factor

12 x^{2} - 37 x + 28

simplify i^{42}simplify

i^{42}

4 (- 5) - 6 (1) > - 18

7 x - 4 = 0

factor 18x^3y-45x^6y^4z^3 factor

18 x^{3} y - 45 x^{6} y^{4} z^{3}

Frequently Asked Questions (FAQ)

What is |4x-7|>= 6 ?
The solution to |4x-7|>= 6 is x<= 1/4 \lor x>= 13/4