en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(|-10+4r|)/(10)>1

Solution

\frac{∣ - 10 + 4 r ∣}{10} > 1

Solution

r < 0 or r > 5

+1

Interval Notation

(- \infty, 0) \cup (5, \infty)

Solution steps

\frac{∣ - 10 + 4 r ∣}{10} > 1

Multiply both sides by

10

∣ - 10 + 4 r ∣ > 10

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

- 10 + 4 r < - 10 or - 10 + 4 r > 10

- 10 + 4 r < - 10 or - 10 + 4 r > 10

r < 0 or r > 5

Popular Examples

simplify (-16ab^4)/(4b^3)simplify

\frac{- 16 a b ^{4}}{4 b ^{3}}

(x - 6) (x + 2) = 0

factor 2r^2-r-3 factor

2 r^{2} - r - 3

simplify (5pi)/2-pi/2 simplify

\frac{5 π}{2} - \frac{π}{2}

3 x^{2} + 11 x + 5 = 0

Frequently Asked Questions (FAQ)

What is (|-10+4r|)/(10)>1 ?
The solution to (|-10+4r|)/(10)>1 is r<0\lor r>5