What is 4-| 5/3 y+4|> 2/5 ?

The solution to 4-| 5/3 y+4|> 2/5 is -114/25 <y<-6/25

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4-| 5/3 y+4|> 2/5

4 - \frac{5}{3} y + 4 > \frac{2}{5}

- \frac{114}{25} < y < - \frac{6}{25}

Interval Notation

(- \frac{114}{25}, - \frac{6}{25})

Decimal Notation

- 4.56 < y < - 0.24

Solution steps

4 - \frac{5}{3} y + 4 > \frac{2}{5}

Move

4

to the right side

- \frac{5}{3} y + 4 > - \frac{18}{5}

Multiply both sides by

- 1

\frac{5}{3} y + 4 < \frac{18}{5}

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- \frac{18}{5} < \frac{5}{3} y + 4 < \frac{18}{5}

\frac{5}{3} y + 4 > - \frac{18}{5} and \frac{5}{3} y + 4 < \frac{18}{5}

y > - \frac{114}{25} and y < - \frac{6}{25}

Merge Overlapping Intervals

- \frac{114}{25} < y < - \frac{6}{25}

3 0^{2} + 4 0^{2}

(10 t + 5) (t - 2) = 0

\frac{( \frac{1}{3} )}{3}

- 6 n > 54

\frac{5}{6}

What is 4-| 5/3 y+4|> 2/5 ?
The solution to 4-| 5/3 y+4|> 2/5 is -114/25 <y<-6/25