Solve -2x- 1/2 > 1/4 + 35/2

Evaluate

- 2 x - \frac{1}{2} > \frac{1}{4} + \frac{35}{2}

Add the numbers

More Steps

- 2 x - \frac{1}{2} > \frac{71}{4}

Move the constant to the right side

- 2 x > \frac{71}{4} + \frac{1}{2}

Add the numbers

More Steps

- 2 x > \frac{73}{4}

Change the signs on both sides of the inequality and flip the inequality sign

2 x < - \frac{73}{4}

Multiply by the reciprocal

2 x \times \frac{1}{2} < - \frac{73}{4} \times \frac{1}{2}

Multiply

x < - \frac{73}{4} \times \frac{1}{2}

Solution

More Steps

x < - \frac{73}{8}

Alternative Form

x \in (- \infty, - \frac{73}{8})

2x 1/2 > 1/4 + 35/2