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Popular >

(5x-1)/5+(x+1)/2 <= x

Solution

\frac{5 x - 1}{5} + \frac{x + 1}{2} \leq x

Solution

x \leq - \frac{3}{5}

+2

Interval Notation

(- \infty, - \frac{3}{5}]

Decimal Notation

x \leq - 0.6

Solution steps

\frac{5 x - 1}{5} + \frac{x + 1}{2} \leq x

Multiply by LCM

2 (5 x - 1) + 5 (x + 1) \leq 10 x

Expand

2 (5 x - 1) + 5 (x + 1) : 15 x + 3

15 x + 3 \leq 10 x

Move

3

to the right side

15 x \leq 10 x - 3

Move

10 x

to the left side

5 x \leq - 3

Divide both sides by

5

x \leq - \frac{3}{5}

Popular Examples

x^{2} + 10 x + 89 = 0

factor 5x^4y^2+15x^3y^2 factor

5 x^{4} y^{2} + 15 x^{3} y^{2}

factor 2ab-2ab^2 factor

2 ab - 2 a b^{2}

x^{2} + 4 x - 1 = 0

0 = a^{2} + 4 a - 2

Frequently Asked Questions (FAQ)

What is (5x-1)/5+(x+1)/2 <= x ?
The solution to (5x-1)/5+(x+1)/2 <= x is x<=-3/5