Which is the solution to the inequality 9-4<3x-5
1. 3
2. 2
3. 1
4. 0
so first I added 5 to both sides
14-4x<3x
then add 4x to each side
14<7x
14/7<x
2<x
so choie #1 the answer of 3
Is this correct?
none of the answers are correct.
x>2, not equal to two.
Now if your are looking to see which of the answers can be a solution, the 3 can be a solution, but it is not THE single solution.
Of the multiple choice answers above, I believe 3 is the only answer that fits.
the reason why I think 3 is correct because question doesn't ask x being equal to 2 like you stated but it says the x is larger than 2, from the answer I got.
Yes, your solution is correct. Let's break down the steps:
Starting with the inequality: 9 - 4 < 3x - 5
1. Add 5 to both sides:
9 - 4 + 5 < 3x
10 < 3x
2. Next, add 4x to both sides:
10 + 4x < 3x + 4x
4x + 10 < 7x
3. Simplify the equation:
14 < 7x
4. Divide both sides by 7 to isolate the variable:
14/7 < x
5. Simplify the division:
2 < x
So the solution to the inequality is x > 2. This means any value greater than 2 would satisfy the inequality. Since the answer choices given are 3, 2, 1, and 0, we can conclude that the correct solution is choice #1, which is 3.