How do you solve the inequality $\frac{2}{w} + 3 > \frac{29}{w}$ $2/w+3>29/w$ ?

Question

How do I solve the rational inequality $\frac{x - 4}{x + 5} < 4$ $(x-4)/(x+5)<4$ using a TI-84?
How do I solve the rational inequality $\frac{x + 10}{3 x - 2} \leq 3$ $(x+10)/(3x-2)<=3$ using a TI-84?
How do I solve the rational inequality $\frac{x + 2}{2 x + 1} > 5$ $(x+2)/(2x+1)>5$ using a TI-84?
How do I solve the rational inequality $\frac{3 x - 2}{x + 2} \leq \frac{1}{3}$ $(3x-2)/(x+2)<=1/3$ using a TI-83?
How do I solve the rational inequality $\frac{x^{2} - 1}{x + 1} < 2$ $(x^2-1)/(x+1)<2$ using a TI-83?
How do I solve the rational inequality $\frac{x^{2} - x - 6}{x + 2} \leq - 3$ $(x^2-x-6)/(x+2)<=-3$ using a TI-83?
How do you solve rational inequalities?
How do you solve the inequality $\frac{x^{2} - 2 x - 24}{x^{2} - 8 x - 20} \geq 0$ $(x^2-2x-24)/(x^2-8x-20)>=0$ ?
How do you solve the inequality $x^{3} - x^{2} - 6 x > 0$ $x^3-x^2-6x>0$ ?
How do you solve $\frac{16 - x^{2}}{x^{2} - 9} \geq 0$ $(16-x^2)/(x^2-9)>=0$ ?

2071 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-01-18T11:45:41

See below

$\frac{2}{w} + 3 > \frac{29}{w}$ $2/w + 3 > 29/w$

First take LCM

$\frac{2 + 3 w > 29}{w}$ $(2 +3w > 29)/w$

Now you can remove the denominator(LCM) because it is on both sides.
So, we get

2 + 3w > 29

3w > 27

w>9

In this way, we get the answer.

How do you solve the inequality 2w+3>29w2/w+3>29/w?