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Popular >

(x+6)/3-x+6>= x/(15)

Solution

\frac{x + 6}{3} - x + 6 \geq \frac{x}{15}

Solution

x \leq \frac{120}{11}

+2

Interval Notation

(- \infty, \frac{120}{11}]

Decimal Notation

x \leq 10.90909 \dots

Solution steps

\frac{x + 6}{3} - x + 6 \geq \frac{x}{15}

Multiply by LCM

5 (x + 6) - 15 x + 90 \geq x

Expand

5 (x + 6) - 15 x + 90 : - 10 x + 120

- 10 x + 120 \geq x

Move

120

to the right side

- 10 x \geq x - 120

Move

x

to the left side

- 11 x \geq - 120

Multiply both sides by

- 1

11 x \leq 120

Divide both sides by

11

x \leq \frac{120}{11}

Popular Examples

35 k \geq - 77

65 > 6 v + 11 > 17

simplify 8sqrt(72)simplify

872

7 - x = 11

simplify x^2*x^{-12}simplify

x^{2} \cdot x^{- 12}

Frequently Asked Questions (FAQ)

What is (x+6)/3-x+6>= x/(15) ?
The solution to (x+6)/3-x+6>= x/(15) is x<= 120/11