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Popular >

|(3x)/8-5|> 3/4

Solution

\frac{3 x}{8} - 5 > \frac{3}{4}

Solution

x < \frac{34}{3} or x > \frac{46}{3}

+2

Interval Notation

(- \infty, \frac{34}{3}) \cup (\frac{46}{3}, \infty)

Decimal Notation

x < 11.33333 \dots or x > 15.33333 \dots

Solution steps

\frac{3 x}{8} - 5 > \frac{3}{4}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

\frac{3 x}{8} - 5 < - \frac{3}{4} or \frac{3 x}{8} - 5 > \frac{3}{4}

\frac{3 x}{8} - 5 < - \frac{3}{4} or \frac{3 x}{8} - 5 > \frac{3}{4}

x < \frac{34}{3} or x > \frac{46}{3}

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11 + x = 7 - 4 x

simplify sqrt(75)-4sqrt(18)+2sqrt(32)simplify

75 - 418 + 232

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simplify \sqrt[4]{80/3}*a^7*b^8*c^2 simplify

Frequently Asked Questions (FAQ)

What is |(3x)/8-5|> 3/4 ?
The solution to |(3x)/8-5|> 3/4 is x< 34/3 \lor x> 46/3