What is 1/5 <(2x-4)/3 <6 ?

The solution to 1/5 <(2x-4)/3 <6 is 23/10 <x<11

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1/5 <(2x-4)/3 <6

\frac{1}{5} < \frac{2 x - 4}{3} < 6

\frac{23}{10} < x < 11

Solution steps

\frac{1}{5} < \frac{2 x - 4}{3} < 6

a < u < b

then

a < u and u < b

\frac{1}{5} < \frac{2 x - 4}{3} and \frac{2 x - 4}{3} < 6

\frac{1}{5} < \frac{2 x - 4}{3} : x > \frac{23}{10}

\frac{2 x - 4}{3} < 6 : x < 11

Combine the intervals

x > \frac{23}{10} and x < 11

Merge Overlapping Intervals

\frac{23}{10} < x < 11

∣ 8 y - 3 ∣ \geq 4

x^{5} + 2 x^{3}

\frac{28 x ^{2} yz}{21 x ^{2} y ^{3}}

[- \frac{29}{24} - (- \frac{13}{48})] - (- \frac{5}{6})

- 2 x \leq 4 x + 12 and x > 5