What is ((a+3))/5-((2a-1))/2 >((4-a))/2-a/(10) ?

The solution to ((a+3))/5-((2a-1))/2 >((4-a))/2-a/(10) is a<-9/2

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((a+3))/5-((2a-1))/2 >((4-a))/2-a/(10)

\frac{( a + 3 )}{5} - \frac{( 2 a - 1 )}{2} > \frac{( 4 - a )}{2} - \frac{a}{10}

a < - \frac{9}{2}

Interval Notation

(- \infty, - \frac{9}{2})

Decimal Notation

a < - 4.5

Solution steps

\frac{( a + 3 )}{5} - \frac{( 2 a - 1 )}{2} > \frac{( 4 - a )}{2} - \frac{a}{10}

\frac{a + 3}{5} - \frac{2 a - 1}{2} > \frac{4 - a}{2} - \frac{a}{10}

Multiply by LCM

2 (a + 3) - 5 (2 a - 1) > 5 (- a + 4) - a

Expand

2 (a + 3) - 5 (2 a - 1) : - 8 a + 11

Expand

5 (- a + 4) - a : - 6 a + 20

- 8 a + 11 > - 6 a + 20

Move

11

to the right side

- 8 a > - 6 a + 9

Move

6 a

to the left side

- 2 a > 9

Multiply both sides by

- 1

2 a < - 9

Divide both sides by

2

a < - \frac{9}{2}

- 2 z - 3 > - 7

- 3 x + 4 > - 10

\frac{2 x}{5 + 1} < \frac{( x - 1 )}{3 + 3}

- 2 x + 3 \leq - 4 x - 5

- p > - 0

What is ((a+3))/5-((2a-1))/2 >((4-a))/2-a/(10) ?
The solution to ((a+3))/5-((2a-1))/2 >((4-a))/2-a/(10) is a<-9/2