Given the following inequality 10x-6 greater than -3x+20 which of the following is the correct solution to the inequality?

Answer 1

To solve the given inequality, we need to isolate the variable x on one side of the inequality sign.

10x - 6 > -3x + 20

First, let's move all terms containing x to the left side of the inequality sign by adding 3x to both sides:

10x + 3x - 6 > -3x + 3x + 20

Combining like terms:

13x - 6 > 20

Next, let's move the constant term -6 to the right side of the inequality sign by adding 6 to both sides:

13x - 6 + 6 > 20 + 6

Combining like terms:

13x > 26

Finally, let's divide both sides of the inequality by 13 to solve for x:

(13x)/13 > 26/13

Simplifying:

x > 2

Therefore, the correct solution to the inequality is x > 2.