Solve. 3<5x+3≤8
3-3<5x+3-3≤8-3
0<5x/5≤5/5
0<x≤1
0,1
Is this correct?
It seems so
You have to have a little faith in yourself
you should plug it in and see for yourself
Although, as an interval, the answer would be (0,1]
Yes, your solution is correct. However, to clarify and ensure understanding, I will break down the steps you took to solve the inequality.
1. Start with the given inequality: 3 < 5x + 3 ≤ 8.
2. Subtract 3 from all the terms in the inequality: 3 - 3 < 5x + 3 - 3 ≤ 8 - 3.
This simplifies to: 0 < 5x ≤ 5.
3. Divide all the terms in the inequality by 5: 0 < 5x/5 ≤ 5/5.
Simplifying further: 0 < x ≤ 1.
4. The final solution is x values greater than 0 and less than or equal to 1: 0 < x ≤ 1.
Therefore, your solution set is x = {0, 1}.