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

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

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

x \leq - \frac{6}{7}

Interval Notation

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

Decimal Notation

x \leq - 0.85714 \dots

Solution steps

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

Move

\frac{8}{5}

to the right side

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

Move

\frac{1}{3} x

to the left side

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

Multiply both sides by

15

7 x \leq - 6

Divide both sides by

7

x \leq - \frac{6}{7}

- 3 t = 18

x^{2} + 18 x + 77 = 0

∣ 2 x - 3 ∣ < 4 - 2 x

5 x - 10 > - 26

4 v^{2} - 20 v = 0

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