What is -4<= 9/5 x+32<= 68 ?

The solution to -4<= 9/5 x+32<= 68 is -20<= x<= 20

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-4<= 9/5 x+32<= 68

- 4 \leq \frac{9}{5} x + 32 \leq 68

- 20 \leq x \leq 20

Interval Notation

[- 20, 20]

Solution steps

- 4 \leq \frac{9}{5} x + 32 \leq 68

a \leq u \leq b

then

a \leq u and u \leq b

- 4 \leq \frac{9}{5} x + 32 and \frac{9}{5} x + 32 \leq 68

- 4 \leq \frac{9}{5} x + 32 : x \geq - 20

\frac{9}{5} x + 32 \leq 68 : x \leq 20

Combine the intervals

x \geq - 20 and x \leq 20

Merge Overlapping Intervals

- 20 \leq x \leq 20

(1 \frac{1}{3})^{3}

(13 x^{- 8}) (3 x^{10})

∣ x - 12 ∣ < 15

(\frac{1}{2})^{- 1}

- \frac{3}{2} u - 5 < \frac{7}{2} u + \frac{1}{4}