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

The solution to -5<= (-3x+1)/4 <= 2 is -7/3 <= x<= 7

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-5<= (-3x+1)/4 <= 2

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

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

Interval Notation

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

Decimal Notation

- 2.33333 \dots \leq x \leq 7

Solution steps

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

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 2

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

\frac{- 3 x + 1}{4} \leq 2 : x \geq - \frac{7}{3}

Combine the intervals

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

Merge Overlapping Intervals

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

3 d^{2} - 5 d + 2

x^{2} + 45 = 0

\frac{3229 - 79080}{245200}

\frac{5 n + 5}{5 n ^{2} + 35 n - 40} + \frac{7 n}{3 n}

4 - 2 n = 34

What is -5<= (-3x+1)/4 <= 2 ?
The solution to -5<= (-3x+1)/4 <= 2 is -7/3 <= x<= 7