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Popular >

|(3r)/5-1|> 2/5

Solution

\frac{3 r}{5} - 1 > \frac{2}{5}

Solution

r < 1 or r > \frac{7}{3}

+2

Interval Notation

(- \infty, 1) \cup (\frac{7}{3}, \infty)

Decimal Notation

r < 1 or r > 2.33333 \dots

Solution steps

\frac{3 r}{5} - 1 > \frac{2}{5}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

\frac{3 r}{5} - 1 < - \frac{2}{5} or \frac{3 r}{5} - 1 > \frac{2}{5}

\frac{3 r}{5} - 1 < - \frac{2}{5} or \frac{3 r}{5} - 1 > \frac{2}{5}

r < 1 or r > \frac{7}{3}

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\frac{5 x ^{2} + 20 x y + 20 y ^{2}}{x ^{2} - x y - 6 y ^{2}}

factor-x^2+2x factor

- x^{2} + 2 x

\frac{5}{9} (68 - 32)

Frequently Asked Questions (FAQ)

What is |(3r)/5-1|> 2/5 ?
The solution to |(3r)/5-1|> 2/5 is r<1\lor r> 7/3