The solution to the compound inequality is -1 ≤ x < 5/2
How to solve the inequality
To solve the compound inequality 1 ≤ 2x + 3 < 8, you need to solve each part separately and then find the intersection of the solutions.
1 ≤ 2x + 3
1 - 3 ≤ 2x
-2 ≤ 2x
-1 ≤ x
2x + 3 < 8
2x < 8 - 3
2x < 5
x < 5/2
The solution to the compound inequality -1 ≤ x < 5/2
[-1, 5/2)
\(1 \leq 2x + 3 < 8\) is \(-1 \leq x < \frac{5}{2}\).