What is |(3x-x)/5 |<= 14/3 ?

The solution to |(3x-x)/5 |<= 14/3 is -35/3 <= x<= 35/3

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|(3x-x)/5 |<= 14/3

\frac{3 x - x}{5} \leq \frac{14}{3}

- \frac{35}{3} \leq x \leq \frac{35}{3}

Interval Notation

[- \frac{35}{3}, \frac{35}{3}]

Decimal Notation

- 11.66666 \dots \leq x \leq 11.66666 \dots

Solution steps

\frac{3 x - x}{5} \leq \frac{14}{3}

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- \frac{14}{3} \leq \frac{3 x - x}{5} \leq \frac{14}{3}

\frac{3 x - x}{5} \geq - \frac{14}{3} and \frac{3 x - x}{5} \leq \frac{14}{3}

x \geq - \frac{35}{3} and x \leq \frac{35}{3}

Merge Overlapping Intervals

- \frac{35}{3} \leq x \leq \frac{35}{3}

20 (y + 26) - 8 (y - 40) = 1296

\frac{( 5 - 5 i )}{( 3 - i )}

6 (2)^{2}

3 c - 7 + 12 c = 53

\frac{b}{3} > 3

What is |(3x-x)/5 |<= 14/3 ?
The solution to |(3x-x)/5 |<= 14/3 is -35/3 <= x<= 35/3