Answer:
x < 4
Explanation:
To solve the inequality 2x - 3 + 4x < 3(x + 3), you need to isolate the variable x. Here are the steps:
Distribute the 3 on the right side of the inequality:
2x - 3 + 4x < 3x + 9
Combine like terms on both sides of the inequality:
(2x + 4x) - 3 < 3x + 9
6x - 3 < 3x + 9
To isolate x on one side, you can subtract 3x from both sides of the inequality:
6x - 3 - 3x < 3x - 3x + 9
3x - 3 < 9
Next, add 3 to both sides of the inequality:
3x - 3 + 3 < 9 + 3
3x < 12
Finally, divide both sides by 3 to solve for x:
(3x)/3 < 12/3
x < 4
So, the solution to the inequality is:
x < 4