What is (x+3)(5-2x)+(2x+1)(x-2)< x/2 ?

The solution to (x+3)(5-2x)+(2x+1)(x-2) 26/9

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

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

x > \frac{26}{9}

Interval Notation

(\frac{26}{9}, \infty)

Decimal Notation

x > 2.88888 \dots

Solution steps

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

Rewrite in standard form

- 9 x + 26 < 0

Move

26

to the right side

- 9 x < - 26

Multiply both sides by

- 1

9 x > 26

Divide both sides by

9

x > \frac{26}{9}

\frac{( x ^{2} - 5 x + 6 )}{( x ^{2} - 7 x + 12 )} \leq 0

[x] < 2

7 x (x + 3) > 8

\frac{2}{( x - 3 )} - \frac{3}{( x + 2 )} < \frac{12}{( x ^{2} - x - 6 )}

\frac{( 5 [ x ] + 4 )}{( 11 [ x ] + 7 )} \geq 3

What is (x+3)(5-2x)+(2x+1)(x-2)< x/2 ?
The solution to (x+3)(5-2x)+(2x+1)(x-2)< x/2 is x> 26/9