I want to know if I got this problem right.
2x-4¡Ü4x-3
2x-4+4¡Ü4x-3+4
2x¡Ü5x
2x¡2=5x¡2
x¡Ý2.5
oh sorry something weird happened here is my problem again.
<= greater than or equal to
>= less than or equal to
2x-4<=4x-3
2x-4+4<=4x-3+4
2x<=5x
2x/2=5x/2
x>=2.5
um i don't think so
if you add 4 to the right side you get
2x=4x+1
then minus the 4x
so that gets
-2x=1
then divide by -2
which would be
x=-1/2
i think that's it:)
To check if you got the problem right, we can go through the steps together.
The original inequality is: 2x - 4 ≤ 4x - 3.
To solve the inequality, we need to isolate x on one side. We can start by adding 4 to both sides to eliminate the -4 on the left side:
2x - 4 + 4 ≤ 4x - 3 + 4
Simplifying the equation, we get:
2x ≤ 4x + 1
Next, subtract 4x from both sides to isolate the x term on the right side:
2x - 4x ≤ 4x - 4x + 1
Simplifying further, we have:
-2x ≤ 1
To solve for x, we need to divide both sides of the inequality by -2. Since we divide by a negative number, the inequality sign will flip:
-2x / -2 ≥ 1 / -2
Simplifying gives us:
x ≥ -1/2
So, it seems there was a mistake in your answer. The correct solution to the inequality is x ≥ -1/2, not x ≥ 2.5.
Please double-check your calculations and remember to pay attention to the steps outlined above.