What is 4<= x-1/2 <= 9 ?

The solution to 4<= x-1/2 <= 9 is 9/2 <= x<= 19/2

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4<= x-1/2 <= 9

4 \leq x - \frac{1}{2} \leq 9

\frac{9}{2} \leq x \leq \frac{19}{2}

Interval Notation

[\frac{9}{2}, \frac{19}{2}]

Decimal Notation

4.5 \leq x \leq 9.5

Solution steps

4 \leq x - \frac{1}{2} \leq 9

a \leq u \leq b

then

a \leq u and u \leq b

4 \leq x - \frac{1}{2} and x - \frac{1}{2} \leq 9

4 \leq x - \frac{1}{2} : x \geq \frac{9}{2}

x - \frac{1}{2} \leq 9 : x \leq \frac{19}{2}

Combine the intervals

x \geq \frac{9}{2} and x \leq \frac{19}{2}

Merge Overlapping Intervals

\frac{9}{2} \leq x \leq \frac{19}{2}

8 w^{2} + w + 1 = 0

z^{3} - 8

0 = 4 + \frac{n}{5}

(- \frac{1}{3}) (\frac{2}{5})

5 \leq 1 - x \leq 9