What is -9<= 3x+4<= 1/2 ?

The solution to -9<= 3x+4<= 1/2 is -13/3 <= x<=-7/6

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-9<= 3x+4<= 1/2

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

- \frac{13}{3} \leq x \leq - \frac{7}{6}

Interval Notation

[- \frac{13}{3}, - \frac{7}{6}]

Decimal Notation

- 4.33333 \dots \leq x \leq - 1.16666 \dots

Solution steps

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

a \leq u \leq b

then

a \leq u and u \leq b

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

- 9 \leq 3 x + 4 : x \geq - \frac{13}{3}

3 x + 4 \leq \frac{1}{2} : x \leq - \frac{7}{6}

Combine the intervals

x \geq - \frac{13}{3} and x \leq - \frac{7}{6}

Merge Overlapping Intervals

- \frac{13}{3} \leq x \leq - \frac{7}{6}

x (2 x + 7) = 245

\frac{25 \cdot 8 \cdot e ^{10}}{24 n ^{2}} \leq 0.0001

0 = - 16 x^{2} + 197

x^{2} + 3 x > 40

2 x^{2} - 32 x + 128 = 0