What is -5>(4x-16)/2 >-17 ?

The solution to -5>(4x-16)/2 >-17 is -9/2 <x< 3/2

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-5>(4x-16)/2 >-17

- 5 > \frac{4 x - 16}{2} > - 17

- \frac{9}{2} < x < \frac{3}{2}

Interval Notation

(- \frac{9}{2}, \frac{3}{2})

Decimal Notation

- 4.5 < x < 1.5

Solution steps

- 5 > \frac{4 x - 16}{2} > - 17

a > u > b

then

a > u and u > b

- 5 > \frac{4 x - 16}{2} and \frac{4 x - 16}{2} > - 17

- 5 > \frac{4 x - 16}{2} : x < \frac{3}{2}

\frac{4 x - 16}{2} > - 17 : x > - \frac{9}{2}

Combine the intervals

x < \frac{3}{2} and x > - \frac{9}{2}

Merge Overlapping Intervals

- \frac{9}{2} < x < \frac{3}{2}

4 (2)^{3}

x^{2} + 12 x - 8 = 0

x^{2} - 8 = 4 x - 12

3 (x + 4)^{2} = 60

∣ - x + 5 ∣ \geq ∣ 2 x - 1 ∣