What is -2<= 12-3x<= 5 ?

The solution to -2<= 12-3x<= 5 is 7/3 <= x<= 14/3

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-2<= 12-3x<= 5

- 2 \leq 12 - 3 x \leq 5

\frac{7}{3} \leq x \leq \frac{14}{3}

Interval Notation

[\frac{7}{3}, \frac{14}{3}]

Decimal Notation

2.33333 \dots \leq x \leq 4.66666 \dots

Solution steps

- 2 \leq 12 - 3 x \leq 5

a \leq u \leq b

then

a \leq u and u \leq b

- 2 \leq 12 - 3 x and 12 - 3 x \leq 5

- 2 \leq 12 - 3 x : x \leq \frac{14}{3}

12 - 3 x \leq 5 : x \geq \frac{7}{3}

Combine the intervals

x \leq \frac{14}{3} and x \geq \frac{7}{3}

Merge Overlapping Intervals

\frac{7}{3} \leq x \leq \frac{14}{3}

- 1 < 2 - m

2 ∣ 2 x - 7 ∣ + 2 > 16

12 = - 2.7 t^{2} + 40 t + 6.5

x - 2 \geq - 7

x^{2} - 14 x + 6 = 0