What is -2<= (-2x+1)/(-3)<= 4 ?

The solution to -2<= (-2x+1)/(-3)<= 4 is -5/2 <= x<= 13/2

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-2<= (-2x+1)/(-3)<= 4

- 2 \leq \frac{- 2 x + 1}{- 3} \leq 4

- \frac{5}{2} \leq x \leq \frac{13}{2}

Interval Notation

[- \frac{5}{2}, \frac{13}{2}]

Decimal Notation

- 2.5 \leq x \leq 6.5

Solution steps

- 2 \leq \frac{- 2 x + 1}{- 3} \leq 4

a \leq u \leq b

then

a \leq u and u \leq b

- 2 \leq \frac{- 2 x + 1}{- 3} and \frac{- 2 x + 1}{- 3} \leq 4

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

\frac{- 2 x + 1}{- 3} \leq 4 : x \leq \frac{13}{2}

Combine the intervals

x \geq - \frac{5}{2} and x \leq \frac{13}{2}

Merge Overlapping Intervals

- \frac{5}{2} \leq x \leq \frac{13}{2}

x^{2} - 16 = 2 - x^{2}

p^{2} - 10 p + 16

\frac{2}{5} (7 x - 1) = 3 x - 1

4 (x - 3) = 5

m^{4} + 8 m^{2} + 12

What is -2<= (-2x+1)/(-3)<= 4 ?
The solution to -2<= (-2x+1)/(-3)<= 4 is -5/2 <= x<= 13/2