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Popular >

(x+3)/3+(x+2)/2 >2+x

Solution

\frac{x + 3}{3} + \frac{x + 2}{2} > 2 + x

Solution

x < 0

+1

Interval Notation

(- \infty, 0)

Solution steps

\frac{x + 3}{3} + \frac{x + 2}{2} > 2 + x

Multiply by LCM

2 (x + 3) + 3 (x + 2) > 12 + 6 x

Expand

2 (x + 3) + 3 (x + 2) : 5 x + 12

5 x + 12 > 12 + 6 x

Move

12

to the right side

5 x > 6 x

Move

6 x

to the left side

- x > 0

Multiply both sides by

- 1

x < 0

Popular Examples

factor 3a^3+10a^2-8a factor

3 a^{3} + 10 a^{2} - 8 a

simplify e^{ln(sqrt(7))}simplify

e^{l n (7)}

\frac{6}{x + 3} \leq 2

factor a^3-4a^2+20a-125 factor

a^{3} - 4 a^{2} + 20 a - 125

simplify 1/8+1/8+1/8 simplify

\frac{1}{8} + \frac{1}{8} + \frac{1}{8}

Frequently Asked Questions (FAQ)

What is (x+3)/3+(x+2)/2 >2+x ?
The solution to (x+3)/3+(x+2)/2 >2+x is x<0