What is (5sqrt(2)+3)/(5x+3)<1 ?

The solution to (5sqrt(2)+3)/(5x+3) sqrt(2)

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(5sqrt(2)+3)/(5x+3)<1

\frac{5 2 + 3}{5 x + 3} < 1

x < - \frac{3}{5} or x > 2

Interval Notation

(- \infty, - \frac{3}{5}) \cup (2, \infty)

Decimal Notation

x < - 0.6 or x > 1.41421 \dots

Solution steps

\frac{5 2 + 3}{5 x + 3} < 1

Rewrite in standard form

\frac{- 5 x + 5 2}{5 x + 3} < 0

Identify the intervals

x < - \frac{3}{5} or x > 2

\frac{1 0 ^{- 2}}{1 0 ^{- 3}}

\frac{13744}{100} x^{2} + \frac{54977}{100} x + 122500 = 0

218

(x + 4) (x + 5) = 0

(- \frac{5}{4})^{2}

What is (5sqrt(2)+3)/(5x+3)<1 ?
The solution to (5sqrt(2)+3)/(5x+3)<1 is x<-3/5 \lor x>sqrt(2)