What is 6/7 x-1/4 <= 11/14 x-4/7 ?

The solution to 6/7 x-1/4 <= 11/14 x-4/7 is x<=-9/2

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6/7 x-1/4 <= 11/14 x-4/7

\frac{6}{7} x - \frac{1}{4} \leq \frac{11}{14} x - \frac{4}{7}

x \leq - \frac{9}{2}

Interval Notation

(- \infty, - \frac{9}{2}]

Decimal Notation

x \leq - 4.5

Solution steps

\frac{6}{7} x - \frac{1}{4} \leq \frac{11}{14} x - \frac{4}{7}

Move

\frac{1}{4}

to the right side

\frac{6}{7} x \leq - \frac{9}{28} + \frac{11}{14} x

Move

\frac{11}{14} x

to the left side

\frac{1}{14} x \leq - \frac{9}{28}

Multiply both sides by

14

x \leq - \frac{9}{2}

z^{2} - 14 z + 24

7 (v + 5) = 105

- 4 x \geq 28

\frac{1}{12} \cdot 6

\frac{5}{3} \cdot 6

What is 6/7 x-1/4 <= 11/14 x-4/7 ?
The solution to 6/7 x-1/4 <= 11/14 x-4/7 is x<=-9/2