What is -5<= (-3x+1)/4 <= 15 ?

The solution to -5<= (-3x+1)/4 <= 15 is -59/3 <= x<= 7

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-5<= (-3x+1)/4 <= 15

- 5 \leq \frac{- 3 x + 1}{4} \leq 15

- \frac{59}{3} \leq x \leq 7

Interval Notation

[- \frac{59}{3}, 7]

Decimal Notation

- 19.66666 \dots \leq x \leq 7

Solution steps

- 5 \leq \frac{- 3 x + 1}{4} \leq 15

a \leq u \leq b

then

a \leq u and u \leq b

- 5 \leq \frac{- 3 x + 1}{4} and \frac{- 3 x + 1}{4} \leq 15

- 5 \leq \frac{- 3 x + 1}{4} : x \leq 7

\frac{- 3 x + 1}{4} \leq 15 : x \geq - \frac{59}{3}

Combine the intervals

x \leq 7 and x \geq - \frac{59}{3}

Merge Overlapping Intervals

- \frac{59}{3} \leq x \leq 7

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

4 x^{2} + 12 x + 3 = 0

\frac{6 \cdot 5 \cdot 4 \cdot 3}{6 ^{5}}

4 - 3 x \leq - (1 + 8 x)

∣ x ∣ = \frac{1}{3}

What is -5<= (-3x+1)/4 <= 15 ?
The solution to -5<= (-3x+1)/4 <= 15 is -59/3 <= x<= 7