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Popular >

4/5 (x-2)< 1/3 (x-6)

Solution

\frac{4}{5} (x - 2) < \frac{1}{3} (x - 6)

Solution

x < - \frac{6}{7}

+2

Interval Notation

(- \infty, - \frac{6}{7})

Decimal Notation

x < - 0.85714 \dots

Solution steps

\frac{4}{5} (x - 2) < \frac{1}{3} (x - 6)

Expand

\frac{4}{5} (x - 2) : \frac{4}{5} x - \frac{8}{5}

Expand

\frac{1}{3} (x - 6) : \frac{1}{3} x - 2

\frac{4}{5} x - \frac{8}{5} < \frac{1}{3} x - 2

Move

\frac{8}{5}

to the right side

\frac{4}{5} x < - \frac{2}{5} + \frac{1}{3} x

Move

\frac{1}{3} x

to the left side

\frac{7}{15} x < - \frac{2}{5}

Multiply both sides by

15

7 x < - 6

Divide both sides by

7

x < - \frac{6}{7}

Popular Examples

3x^2-2.4x+0.41=0

3 x^{2} - 2.4 x + 0.41 = 0

simplify 30^4 simplify

3 0^{4}

simplify (sqrt(15xy))/(3sqrt(10xy^3))simplify

\frac{15 x y}{3 10 x y ^{3}}

(x-4)^{2/3}<(2x)^{1/3}

(x - 4)^{\frac{2}{3}} < (2 x)^{\frac{1}{3}}

x - 6 < 4

Frequently Asked Questions (FAQ)

What is 4/5 (x-2)< 1/3 (x-6) ?
The solution to 4/5 (x-2)< 1/3 (x-6) is x<-6/7