To solve the inequality 2x + 3 < 6x - 9, we need to isolate the variable.
First, subtract 2x from both sides of the inequality:
3 < 4x - 9
Next, add 9 to both sides of the inequality:
12 < 4x
Now, divide both sides of the inequality by 4:
3 < x
The solution to the inequality is x > 3.
To graph the solution, we represent x on the number line where x is greater than 3. We can label a point to represent x = 3 and then shade the line to the right of that point, including all values greater than 3.
Graph:
------------------------------------>+
-2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
solve the inequality. then graph the solution.
2x+3<6x-9
1 answer