What is 4<(15x-8)/(15)<7 ?

The solution to 4<(15x-8)/(15)<7 is 68/15 <x< 113/15

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4<(15x-8)/(15)<7

4 < \frac{15 x - 8}{15} < 7

\frac{68}{15} < x < \frac{113}{15}

Interval Notation

(\frac{68}{15}, \frac{113}{15})

Decimal Notation

4.53333 \dots < x < 7.53333 \dots

Solution steps

4 < \frac{15 x - 8}{15} < 7

a < u < b

then

a < u and u < b

4 < \frac{15 x - 8}{15} and \frac{15 x - 8}{15} < 7

4 < \frac{15 x - 8}{15} : x > \frac{68}{15}

\frac{15 x - 8}{15} < 7 : x < \frac{113}{15}

Combine the intervals

x > \frac{68}{15} and x < \frac{113}{15}

Merge Overlapping Intervals

\frac{68}{15} < x < \frac{113}{15}

∣ 5 x - 15 ∣ - 4 \geq 21

\frac{18}{- 6}

x 3 = 9

5 x^{2} + 19 x + 16 > 20

m^{2} - m - 12