What is -4<= 2/3 x-2<= 6 ?

The solution to -4<= 2/3 x-2<= 6 is -3<= x<= 12

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-4<= 2/3 x-2<= 6

- 4 \leq \frac{2}{3} x - 2 \leq 6

- 3 \leq x \leq 12

Interval Notation

[- 3, 12]

Solution steps

- 4 \leq \frac{2}{3} x - 2 \leq 6

a \leq u \leq b

then

a \leq u and u \leq b

- 4 \leq \frac{2}{3} x - 2 and \frac{2}{3} x - 2 \leq 6

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

\frac{2}{3} x - 2 \leq 6 : x \leq 12

Combine the intervals

x \geq - 3 and x \leq 12

Merge Overlapping Intervals

- 3 \leq x \leq 12

2 z^{2} - 7 z + 6

2 x^{2} = 4 x - 7

- 4 (v + 1) + 6 v = 2 (v + 2) - 8

\frac{( x - 4 )}{( x + 3 )} \geq 0

\frac{5 a b ^{3}}{25 a ^{2} b ^{2}}