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Popular >

(x-3)/3+(2x+7)/6 <(x-2)/7

Solution

\frac{x - 3}{3} + \frac{2 x + 7}{6} < \frac{x - 2}{7}

Solution

x < - \frac{19}{22}

+2

Interval Notation

(- \infty, - \frac{19}{22})

Decimal Notation

x < - 0.86363 \dots

Solution steps

\frac{x - 3}{3} + \frac{2 x + 7}{6} < \frac{x - 2}{7}

Multiply by LCM

14 (x - 3) + 7 (2 x + 7) < 6 (x - 2)

Expand

14 (x - 3) + 7 (2 x + 7) : 28 x + 7

Expand

6 (x - 2) : 6 x - 12

28 x + 7 < 6 x - 12

Move

7

to the right side

28 x < 6 x - 19

Move

6 x

to the left side

22 x < - 19

Divide both sides by

22

x < - \frac{19}{22}

Popular Examples

2 x^{2} - 4 x - 4 = 0

t^{2} + 5 t - 24 = 0

3 w + 5 = 23

n + 1 \leq 5

simplify-3^3x^{-5}+5x^2y^2*(4^2x^{-7})/(y^2)simplify

- 3^{3} x^{- 5} + 5 x^{2} y^{2} \cdot \frac{4 ^{2} x ^{- 7}}{y ^{2}}

Frequently Asked Questions (FAQ)

What is (x-3)/3+(2x+7)/6 <(x-2)/7 ?
The solution to (x-3)/3+(2x+7)/6 <(x-2)/7 is x<-19/22