What is -7<= (3y+4)/2 <-4 ?

The solution to -7<= (3y+4)/2 <-4 is -6<= y<-4

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-7<= (3y+4)/2 <-4

- 7 \leq \frac{3 y + 4}{2} < - 4

- 6 \leq y < - 4

Interval Notation

[- 6, - 4)

Solution steps

- 7 \leq \frac{3 y + 4}{2} < - 4

a \leq u < b

then

a \leq u and u < b

- 7 \leq \frac{3 y + 4}{2} and \frac{3 y + 4}{2} < - 4

- 7 \leq \frac{3 y + 4}{2} : y \geq - 6

\frac{3 y + 4}{2} < - 4 : y < - 4

Combine the intervals

y \geq - 6 and y < - 4

Merge Overlapping Intervals

- 6 \leq y < - 4

(3 x - 4)^{2} - 16

a^{3} - 2 a^{2} - 8 a

- 3 < 2 - \frac{x}{2} \leq 1

\frac{\frac{π}{2}}{3}

- 7 z^{2} - 98 z = 307