What is -1<= (3x-7)/2 <= 14 ?

The solution to -1<= (3x-7)/2 <= 14 is 5/3 <= x<= 35/3

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-1<= (3x-7)/2 <= 14

- 1 \leq \frac{3 x - 7}{2} \leq 14

\frac{5}{3} \leq x \leq \frac{35}{3}

Interval Notation

[\frac{5}{3}, \frac{35}{3}]

Decimal Notation

1.66666 \dots \leq x \leq 11.66666 \dots

Solution steps

- 1 \leq \frac{3 x - 7}{2} \leq 14

a \leq u \leq b

then

a \leq u and u \leq b

- 1 \leq \frac{3 x - 7}{2} and \frac{3 x - 7}{2} \leq 14

- 1 \leq \frac{3 x - 7}{2} : x \geq \frac{5}{3}

\frac{3 x - 7}{2} \leq 14 : x \leq \frac{35}{3}

Combine the intervals

x \geq \frac{5}{3} and x \leq \frac{35}{3}

Merge Overlapping Intervals

\frac{5}{3} \leq x \leq \frac{35}{3}

(x + h)^{- \frac{1}{2}}

39 = n + 29

4 u^{2} + 24 u + 29 = 1

2 (- 4 s + 2) \geq - 5 s - 10

\frac{k ^{6}}{k ^{6}}

What is -1<= (3x-7)/2 <= 14 ?
The solution to -1<= (3x-7)/2 <= 14 is 5/3 <= x<= 35/3