Answer:
It is impossible for a number to be both less than 1 and greater than or equal to 3, so the compound inequality has NO SOLUTION.
Explanation:
The word "and" tells us that we are looking for all values of x that satisfy BOTH inequalities simultaneously.
3x + 5 < 8 and 2x + 5 ≥ 11
3x < 3 and 2x ≥ 6
x < 1 and x ≥ 3
It is impossible for a number to be both less than 1 and greater than or equal to 3, so the compound inequality has NO SOLUTION.