What is -2<= 3x+2<= 3 ?

The solution to -2<= 3x+2<= 3 is -4/3 <= x<= 1/3

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-2<= 3x+2<= 3

- 2 \leq 3 x + 2 \leq 3

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

Interval Notation

[- \frac{4}{3}, \frac{1}{3}]

Decimal Notation

- 1.33333 \dots \leq x \leq 0.33333 \dots

Solution steps

- 2 \leq 3 x + 2 \leq 3

a \leq u \leq b

then

a \leq u and u \leq b

- 2 \leq 3 x + 2 and 3 x + 2 \leq 3

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

3 x + 2 \leq 3 : x \leq \frac{1}{3}

Combine the intervals

x \geq - \frac{4}{3} and x \leq \frac{1}{3}

Merge Overlapping Intervals

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

x^{\frac{5}{2}} - x^{\frac{1}{2}}

4 - 2 (- 10 - 1) = 3 (2 - 10) - 10

m^{4} - 3 m^{3} - 70 m^{2}

p_{24} = 10 \cdot \frac{1}{( 1 + 1.8 \cdot 0.58 \cdot 24 ) ^{- 1.8}}

6 y - 5 = - 3 (2 y + 1)