Question

What is the solution of the ineuality 1/2x+1/4 > 3/2x+3/4 ?

Answer 1

Answer:

x < - $\frac{1}{2}$

Step-by-step explanation:

Given

$\frac{1}{2}$ x + $\frac{1}{4}$ > $\frac{3}{2}$ x + $\frac{3}{4}$

The lowest common multiple of 2 and 4 is 4

Multiply through by 4 to clear the fractions

2x + 1 > 6x + 3 ( subtract 2x from both sides )

1 > 4x + 3 ( subtract 3 from both sides )

- 2 > 4x ( divide both sides by 4 )

- $\frac{2}{4}$ > x

- $\frac{1}{2}$ > x , thus

x < - $\frac{1}{2}$