# solving inequalities

• Oct 27th 2008, 05:55 PM
lickman
solving inequalities
guys i really need help with these 2 questions:
Solve. Illustrate graphically.
a.) 2/x + 3 > 29/x
b.) 5/6x + 2/3x > 3/4

guys i dunno how to graph nor solve it. And how do u solve the inequality please help me !! thanks
• Oct 28th 2008, 04:24 AM
masters
Quote:

Originally Posted by lickman
guys i really need help with these 2 questions:
Solve. Illustrate graphically.
a.) 2/x + 3 > 29/x
b.) 5/6x + 2/3x > 3/4

guys i dunno how to graph nor solve it. And how do u solve the inequality please help me !! thanks

$\frac{2}{x}+3>\frac{29}{x}$

Multiply by x

$2+3x>29$

$3x>27$

$x>9$

<------0---------9=======>

$\frac{5}{6}x+\frac{2}{3}x>\frac{3}{4}$

Multiply by LCD (12)

$10x+8x>9$

$18x>9$

$x>\frac{1}{2}$]

<------0---1/2========>