What is -11<= 1/2 z+1<= 6 ?

The solution to -11<= 1/2 z+1<= 6 is -24<= z<= 10

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-11<= 1/2 z+1<= 6

- 11 \leq \frac{1}{2} z + 1 \leq 6

- 24 \leq z \leq 10

Interval Notation

[- 24, 10]

Solution steps

- 11 \leq \frac{1}{2} z + 1 \leq 6

a \leq u \leq b

then

a \leq u and u \leq b

- 11 \leq \frac{1}{2} z + 1 and \frac{1}{2} z + 1 \leq 6

- 11 \leq \frac{1}{2} z + 1 : z \geq - 24

\frac{1}{2} z + 1 \leq 6 : z \leq 10

Combine the intervals

z \geq - 24 and z \leq 10

Merge Overlapping Intervals

- 24 \leq z \leq 10

5 \cdot 0.5

- (4 \cdot x - 1) + 8 \cdot x - 16 \cdot x^{2} = 1

9 - 7 ∣ 3 + 2 r ∣ \leq - 26

2 x + 3 \geq 7