Final answer:
The compound inequality has no solution.
Step-by-step explanation:
To find the solution to the compound inequality 21 + 7 < 5 and 2x - 7 < 5, we need to solve each inequality separately and combine the solutions.
For the first inequality, 21 + 7 < 5, we can simplify it to 28 < 5, which is false. Therefore, there is no solution for this inequality.
For the second inequality, 2x - 7 < 5, we can add 7 to both sides to get 2x < 12. Then, divide both sides by 2 to get x < 6. So the solution to this inequality is x < 6.
Since we are looking for the solution to the compound inequality, we need to find where the solutions to both inequalities overlap. However, since the first inequality has no solution, the compound inequality also has no solution.