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Popular >

1-(2x-5)/3 >(x+3)/2

Solution

1 - \frac{2 x - 5}{3} > \frac{x + 3}{2}

Solution

x < 1

+1

Interval Notation

(- \infty, 1)

Solution steps

1 - \frac{2 x - 5}{3} > \frac{x + 3}{2}

Multiply by LCM

6 - 2 (2 x - 5) > 3 (x + 3)

Expand

6 - 2 (2 x - 5) : - 4 x + 16

Expand

3 (x + 3) : 3 x + 9

- 4 x + 16 > 3 x + 9

Move

16

to the right side

- 4 x > 3 x - 7

Move

3 x

to the left side

- 7 x > - 7

Multiply both sides by

- 1

7 x < 7

Divide both sides by

7

x < 1

Popular Examples

((2x+10))/((x^2-5x+6))>= 0

\frac{( 2 x + 10 )}{( x ^{2} - 5 x + 6 )} \geq 0

simplify 0/(-5)simplify

\frac{0}{- 5}

x^{2} - 17 x + 13 = - 27

simplify-1/2*8 simplify

- \frac{1}{2} \cdot 8

simplify (4a+1/8 b)^2 simplify

(4 a + \frac{1}{8} b)^{2}

Frequently Asked Questions (FAQ)

What is 1-(2x-5)/3 >(x+3)/2 ?
The solution to 1-(2x-5)/3 >(x+3)/2 is x<1