What is -8<= 3x+6<= 1/2 ?

The solution to -8<= 3x+6<= 1/2 is -14/3 <= x<=-11/6

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-8<= 3x+6<= 1/2

- 8 \leq 3 x + 6 \leq \frac{1}{2}

- \frac{14}{3} \leq x \leq - \frac{11}{6}

Interval Notation

[- \frac{14}{3}, - \frac{11}{6}]

Decimal Notation

- 4.66666 \dots \leq x \leq - 1.83333 \dots

Solution steps

- 8 \leq 3 x + 6 \leq \frac{1}{2}

a \leq u \leq b

then

a \leq u and u \leq b

- 8 \leq 3 x + 6 and 3 x + 6 \leq \frac{1}{2}

- 8 \leq 3 x + 6 : x \geq - \frac{14}{3}

3 x + 6 \leq \frac{1}{2} : x \leq - \frac{11}{6}

Combine the intervals

x \geq - \frac{14}{3} and x \leq - \frac{11}{6}

Merge Overlapping Intervals

- \frac{14}{3} \leq x \leq - \frac{11}{6}

3 y^{2} + 12 = 0

x^{2} - 61 = 20

\frac{4 ( c ) ^{3}}{3 c ^{7}}

2 (4 x - 6) = 6 x - 4

4 c^{2} - 15 c + 9