What is -5<= (-3x+1)/4 <= 6 ?

The solution to -5<= (-3x+1)/4 <= 6 is -23/3 <= x<= 7

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-5<= (-3x+1)/4 <= 6

- 5 \leq \frac{- 3 x + 1}{4} \leq 6

- \frac{23}{3} \leq x \leq 7

Interval Notation

[- \frac{23}{3}, 7]

Decimal Notation

- 7.66666 \dots \leq x \leq 7

Solution steps

- 5 \leq \frac{- 3 x + 1}{4} \leq 6

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 6

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

\frac{- 3 x + 1}{4} \leq 6 : x \geq - \frac{23}{3}

Combine the intervals

x \leq 7 and x \geq - \frac{23}{3}

Merge Overlapping Intervals

- \frac{23}{3} \leq x \leq 7

lo g_{a} (\frac{1}{a})

7 x^{2} - 47 = x^{2} - 6 x - 11

\frac{1}{10} (x + 11) = - 2 (8 - x)

n^{2} - 49

What is -5<= (-3x+1)/4 <= 6 ?
The solution to -5<= (-3x+1)/4 <= 6 is -23/3 <= x<= 7