What is -2>(-3a-5)/3 >-4 ?

The solution to -2>(-3a-5)/3 >-4 is 1/3 <a< 7/3

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-2>(-3a-5)/3 >-4

- 2 > \frac{- 3 a - 5}{3} > - 4

\frac{1}{3} < a < \frac{7}{3}

Interval Notation

(\frac{1}{3}, \frac{7}{3})

Decimal Notation

0.33333 \dots < a < 2.33333 \dots

Solution steps

- 2 > \frac{- 3 a - 5}{3} > - 4

a > u > b

then

a > u and u > b

- 2 > \frac{- 3 a - 5}{3} and \frac{- 3 a - 5}{3} > - 4

- 2 > \frac{- 3 a - 5}{3} : a > \frac{1}{3}

\frac{- 3 a - 5}{3} > - 4 : a < \frac{7}{3}

Combine the intervals

a > \frac{1}{3} and a < \frac{7}{3}

Merge Overlapping Intervals

\frac{1}{3} < a < \frac{7}{3}

7 = \frac{f}{3}

- 5 = \frac{5}{10} + z

- 2 < 1 - 5 x \leq 3

49 x^{2} = 64

3 ∣ 2 x - 3 ∣ + 2 = 3