What is -2<= 1/2 x-1<= 5 ?

The solution to -2<= 1/2 x-1<= 5 is -2<= x<= 12

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-2<= 1/2 x-1<= 5

- 2 \leq \frac{1}{2} x - 1 \leq 5

- 2 \leq x \leq 12

Interval Notation

[- 2, 12]

Solution steps

- 2 \leq \frac{1}{2} x - 1 \leq 5

a \leq u \leq b

then

a \leq u and u \leq b

- 2 \leq \frac{1}{2} x - 1 and \frac{1}{2} x - 1 \leq 5

- 2 \leq \frac{1}{2} x - 1 : x \geq - 2

\frac{1}{2} x - 1 \leq 5 : x \leq 12

Combine the intervals

x \geq - 2 and x \leq 12

Merge Overlapping Intervals

- 2 \leq x \leq 12

(- \frac{2 ^{4}}{2 ^{3}})^{4}

n^{2} - 8 n + 16

y^{2} = 15 y - 56

(- 64)^{- \frac{3}{2}}

\frac{8}{3} + 3