What is 1/2 x+1/4 >= 3/2 x+3/4 ?

The solution to 1/2 x+1/4 >= 3/2 x+3/4 is x<=-1/2

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1/2 x+1/4 >= 3/2 x+3/4

\frac{1}{2} x + \frac{1}{4} \geq \frac{3}{2} x + \frac{3}{4}

x \leq - \frac{1}{2}

Interval Notation

(- \infty, - \frac{1}{2}]

Decimal Notation

x \leq - 0.5

Solution steps

\frac{1}{2} x + \frac{1}{4} \geq \frac{3}{2} x + \frac{3}{4}

Move

\frac{1}{4}

to the right side

\frac{1}{2} x \geq \frac{3}{2} x + \frac{1}{2}

Move

\frac{3}{2} x

to the left side

- x \geq \frac{1}{2}

Multiply both sides by

- 1

x \leq - \frac{1}{2}

\frac{3 x ^{- 1} + y x ^{- 3}}{x ^{- 1} y ^{2}}

∣ x - 3 ∣ = ∣ 2 x + 3 ∣

12 x^{2} - 7 x + 1

3 (\frac{5}{7})

3 (4 - x) - (2 x + 1) \geq 5 x + 1

What is 1/2 x+1/4 >= 3/2 x+3/4 ?
The solution to 1/2 x+1/4 >= 3/2 x+3/4 is x<=-1/2