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Popular >

-8<=-3/2 z+1<=-2

Solution

- 8 \leq - \frac{3}{2} z + 1 \leq - 2

Solution

2 \leq z \leq 6

+1

Interval Notation

[2, 6]

Solution steps

- 8 \leq - \frac{3}{2} z + 1 \leq - 2

If

a \leq u \leq b

then

a \leq u and u \leq b

- 8 \leq - \frac{3}{2} z + 1 and - \frac{3}{2} z + 1 \leq - 2

- 8 \leq - \frac{3}{2} z + 1 : z \leq 6

- \frac{3}{2} z + 1 \leq - 2 : z \geq 2

Combine the intervals

z \leq 6 and z \geq 2

Merge Overlapping Intervals

2 \leq z \leq 6

Popular Examples

∣ x - 5 ∣ \leq - 4

factor 12x^2-31x+7 factor

12 x^{2} - 31 x + 7

factor 4x^4-144y^4 factor

4 x^{4} - 144 y^{4}

a^{2} + 9 a + 14 = 0

simplify (11u^4)/(17u^7v^9)simplify

\frac{11 u ^{4}}{17 u ^{7} v ^{9}}

Frequently Asked Questions (FAQ)

What is -8<=-3/2 z+1<=-2 ?
The solution to -8<=-3/2 z+1<=-2 is 2<= z<= 6