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Popular >

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

Solution

\frac{1}{3} (x + 3) < \frac{1}{5} (3 x + 2)

Solution

x > \frac{9}{4}

+2

Interval Notation

(\frac{9}{4}, \infty)

Decimal Notation

x > 2.25

Solution steps

\frac{1}{3} (x + 3) < \frac{1}{5} (3 x + 2)

Expand

\frac{1}{3} (x + 3) : \frac{1}{3} x + 1

Expand

\frac{1}{5} (3 x + 2) : \frac{3}{5} x + \frac{2}{5}

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

Move

1

to the right side

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

Move

\frac{3}{5} x

to the left side

- \frac{4}{15} x < - \frac{3}{5}

Multiply both sides by

- 1

\frac{4}{15} x > \frac{3}{5}

Multiply both sides by

15

4 x > 9

Divide both sides by

4

x > \frac{9}{4}

Popular Examples

simplify 3(-4)simplify

3 (- 4)

3 x - 9 < 2 x + 5

simplify (-64)^{(-1)/3}simplify

(- 64)^{\frac{- 1}{3}}

6 x + 15 = 6 x + 15

simplify 1/3*9 simplify

\frac{1}{3} \cdot 9

Frequently Asked Questions (FAQ)

What is 1/3 (x+3)< 1/5 (3x+2) ?
The solution to 1/3 (x+3)< 1/5 (3x+2) is x> 9/4