2(x+1)/4<3x-2
What's the question? To solve for x.
Treat this very much like and equation, except that you reverse the carat if you multiply or divide by a negative number.
2(x+1)/4 < 3x - 2
.5x + .25 < 3x - 2
2.25 < 2.5x
I hope this helps.
To solve the inequality 2(x+1)/4 < 3x-2, we can follow these steps:
Step 1: Distribute the 2 on the left side of the equation:
2/4*(x+1) < 3x - 2
Step 2: Simplify both sides of the inequality:
(x+1)/2 < 3x - 2
Step 3: Multiply both sides of the inequality by 2 to eliminate the fraction:
2 * (x+1)/2 < 2 * (3x - 2)
This gives us:
x + 1 < 6x - 4
Step 4: Get all the terms with x on one side by subtracting x from both sides:
x - x + 1 < 6x - x - 4
This simplifies to:
1 < 5x - 4
Step 5: Get rid of the constant term by adding 4 to both sides:
1 + 4 < 5x - 4 + 4
Which gives us:
5 < 5x
Step 6: Divide both sides of the inequality by 5 to solve for x:
5/5 < 5x/5
This simplifies to:
1 < x
So the solution to the inequality 2(x+1)/4 < 3x-2 is x > 1.