Final answer:
To write an inequality with a solution set of { xlx>4 or x<8 }, you can use the symbol '∪' to represent 'or'. So, the inequality would be x > 4 ∪ x < 8.
Step-by-step explanation:
To write an inequality with a solution set of x , you can use the symbol '∪' to represent 'or'. So, the inequality would be x > 4 ∪ x < 8.
To break it down further:
For the condition x > 4, it means that x should be greater than 4. This includes all numbers that are bigger than 4, such as 5, 6, 7, and so on.
For the condition x < 8, it means that x should be less than 8. This includes all numbers that are smaller than 8, such as 7, 6, 5, and so on.