What is 1/14 x+4>= 6(1-2/7 x) ?

The solution to 1/14 x+4>= 6(1-2/7 x) is x>= 28/25

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1/14 x+4>= 6(1-2/7 x)

\frac{1}{14} x + 4 \geq 6 (1 - \frac{2}{7} x)

x \geq \frac{28}{25}

Interval Notation

[\frac{28}{25}, \infty)

Decimal Notation

x \geq 1.12

Solution steps

\frac{1}{14} x + 4 \geq 6 (1 - \frac{2}{7} x)

Expand

6 (1 - \frac{2}{7} x) : 6 - \frac{12}{7} x

\frac{1}{14} x + 4 \geq 6 - \frac{12}{7} x

Move

4

to the right side

\frac{1}{14} x \geq - \frac{12}{7} x + 2

Move

\frac{12}{7} x

to the left side

\frac{25}{14} x \geq 2

Multiply both sides by

14

25 x \geq 28

Divide both sides by

25

x \geq \frac{28}{25}

\frac{3 x ^{2} + 5 x y - 2 y ^{2}}{4 x ^{2} + 7 x y - 2 y ^{2}}

5 x + 3 x \leq 7 - 3 x

3^{2} \cdot 3^{2}

∣ - 2 x - 9 ∣ = 6

x + 6 = 3 x + 2

What is 1/14 x+4>= 6(1-2/7 x) ?
The solution to 1/14 x+4>= 6(1-2/7 x) is x>= 28/25