Question

Describe the steps you would use to solve the following inequality x +1/2x-3>2

Answer 1

For this case we have the following inequality:

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

We add similar terms on the left side of the inequality:

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

We add 3 to both sides of the inequality:

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

We multiply by 2 on both sides:

$3x> 5 * 2\\3x> 10$

We divide between 3 on both sides:

$x> \frac {10} {3}$

The solutions are given by all values of x greater than $\frac {10} {3}$

Answer:

$x> \frac {10} {3}$

Answer 2

Answer:

Rewrite the inequality so there is a single rational expression on one side, and 0 on the other.

Combine under a common denominator.

Test points in the critical regions.

Construct the solution.

Step-by-step explanation:

its what edg said