Solve 4(2x-3) < 3x+6
Would the solution be x > 18/5?
yes again!
To solve the inequality 4(2x-3) < 3x+6, we need to simplify the expression and isolate the variable x.
Let's start by distributing the 4 on the left side of the inequality:
8x - 12 < 3x + 6
Next, let's gather the x terms on one side of the inequality by subtracting 3x from both sides:
8x - 3x - 12 < 3x - 3x + 6
This simplifies to:
5x - 12 < 6
Now, let's isolate the variable x by adding 12 to both sides:
5x - 12 + 12 < 6 + 12
This simplifies to:
5x < 18
Finally, divide both sides of the inequality by 5 to solve for x:
(5x)/5 < 18/5
This simplifies to:
x < 18/5
So the solution to the inequality is x < 18/5, not x > 18/5.