solve: 6 < x + 4 less than or equal to 11
To solve the inequality 6 < x + 4 ≤ 11, we need to isolate the variable x.
First, subtract 4 from all sides of the inequality to eliminate the constant term on the right side:
6 - 4 < x + 4 - 4 ≤ 11 - 4
2 < x ≤ 7
Therefore, the solution to the given inequality is 2 < x ≤ 7.
Explanation steps:
1. Start with the given inequality: 6 < x + 4 ≤ 11.
2. Subtract 4 from all sides of the inequality to eliminate the constant term: 6 - 4 < x + 4 - 4 ≤ 11 - 4.
3. Simplify both sides: 2 < x ≤ 7.