Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given inequality,

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

Step 1 : Use a > b ⇒ a + c > b + c ∀ a, b, c ∈ R

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

Step 2 : Add fractions in the left side,

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

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

Step 3 : Use a > b = ca > cb  if c > 0,

$\frac{3x}{2}\times \frac{2}{3} > \frac{10}{3}$

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

Which is the required solution.

Answer 2

X>10/3.
x+1/2x-3>2
1)multiply both sides by 2: 2x+x-6>4
2)then collect the like terms:3x-6>4
3) move the constant(6) to the right: 3x>4+6.
then add to get 3x>10
then, divide both sides by three, and you will get x>10/3