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Popular >

15<= 3x-2<22

Solution

15 \leq 3 x - 2 < 22

Solution

\frac{17}{3} \leq x < 8

+2

Interval Notation

[\frac{17}{3}, 8)

Decimal Notation

5.66666 \dots \leq x < 8

Solution steps

15 \leq 3 x - 2 < 22

If

a \leq u < b

then

a \leq u and u < b

15 \leq 3 x - 2 and 3 x - 2 < 22

15 \leq 3 x - 2 : x \geq \frac{17}{3}

3 x - 2 < 22 : x < 8

Combine the intervals

x \geq \frac{17}{3} and x < 8

Merge Overlapping Intervals

\frac{17}{3} \leq x < 8

Popular Examples

simplify ((27)^{-2/3})/((16)^{1/4)}simplify

\frac{( 27 ) ^{- \frac{2}{3}}}{( 16 ) ^{\frac{1}{4}}}

\frac{5}{4} x - 7 = x - 5

simplify (15x^{-5}y^7)/(3x^2y^{-8)}simplify

\frac{15 x ^{- 5} y ^{7}}{3 x ^{2} y ^{- 8}}

|2x-10|+|x-3|=10

∣ 2 x - 10 ∣ + ∣ x - 3 ∣ = 10

simplify-5*1/2 simplify

- 5 \cdot \frac{1}{2}

Frequently Asked Questions (FAQ)

What is 15<= 3x-2<22 ?
The solution to 15<= 3x-2<22 is 17/3 <= x<8