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Popular >

-2<= 10-3x<= 8

Solution

- 2 \leq 10 - 3 x \leq 8

Solution

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

+2

Interval Notation

[\frac{2}{3}, 4]

Decimal Notation

0.66666 \dots \leq x \leq 4

Solution steps

- 2 \leq 10 - 3 x \leq 8

If

a \leq u \leq b

then

a \leq u and u \leq b

- 2 \leq 10 - 3 x and 10 - 3 x \leq 8

- 2 \leq 10 - 3 x : x \leq 4

10 - 3 x \leq 8 : x \geq \frac{2}{3}

Combine the intervals

x \leq 4 and x \geq \frac{2}{3}

Merge Overlapping Intervals

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

Popular Examples

4 (x^{2} - 10) - 1 = - 5

- 5 x^{2} - 19 x + 4 = 0

x + 5 \geq - 4

- 8 \leq 4 + 2 x \leq 14

s^{2} + 8 s - 125 = 0

Frequently Asked Questions (FAQ)

What is -2<= 10-3x<= 8 ?
The solution to -2<= 10-3x<= 8 is 2/3 <= x<= 4