What is 5<(13x-5)/4 <8 ?

The solution to 5<(13x-5)/4 <8 is 25/13 <x< 37/13

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5<(13x-5)/4 <8

5 < \frac{13 x - 5}{4} < 8

\frac{25}{13} < x < \frac{37}{13}

Interval Notation

(\frac{25}{13}, \frac{37}{13})

Decimal Notation

1.92307 \dots < x < 2.84615 \dots

Solution steps

5 < \frac{13 x - 5}{4} < 8

a < u < b

then

a < u and u < b

5 < \frac{13 x - 5}{4} and \frac{13 x - 5}{4} < 8

5 < \frac{13 x - 5}{4} : x > \frac{25}{13}

\frac{13 x - 5}{4} < 8 : x < \frac{37}{13}

Combine the intervals

x > \frac{25}{13} and x < \frac{37}{13}

Merge Overlapping Intervals

\frac{25}{13} < x < \frac{37}{13}

2 x^{3} + 2

4 g > 8

∣ x + 6 ∣ = 2 x - 1

- 4 + 6 n = 92

- \frac{w ^{2}}{800} + 200 = 790