3x-4>2x-6

Answer 1

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

First, let's subtract 2x from both sides of the inequality:
3x - 2x - 4 > 2x - 2x - 6

Simplifying both sides:
x - 4 > -6

Next, let's add 4 to both sides to isolate x:
x - 4 + 4 > -6 + 4

Simplifying both sides:
x > -2

Therefore, the solution to the inequality 3x - 4 > 2x - 6 is x > -2.

Answer 2

Write the solution set in interval notation.

Answer 3

The solution to the inequality 3x - 4 > 2x - 6 is x > -2.

In interval notation, we write this as (-2, ∞), where (-2, ∞) represents all real numbers greater than -2.