Final answer:
The values from the set {5, 6, 7, 8} that satisfy the inequality 5w–10>20 are 7 and 8. We solve the inequality by adding 10 to both sides and then dividing by 5, leading to w > 6.
Step-by-step explanation:
To find the values from the given set {5,6,7,8} that make up the solution set of the inequality 5w – 10 > 20, we need to substitute each value into the inequality and check if it is true or false.
Let's start with 5:
5w – 10 > 20
5(5) – 10 > 20
25 – 10 > 20
15 > 20
The inequality is not true, so 5 is not part of the solution set. By using the same approach, we can check the other values.
6w – 10 > 20
6(6) – 10 > 20
36 – 10 > 20
26 > 20
The inequality is true, so 6 is part of the solution set.
7w – 10 > 20
7(7) – 10 > 20
49 – 10 > 20
39 > 20
The inequality is true, so 7 is part of the solution set.
8w – 10 > 20
8(8) – 10 > 20
64 – 10 > 20
54 > 20
The inequality is true, so 8 is part of the solution set.
Therefore, the values from the set {5,6,7,8} that make up the solution set of the inequality 5w – 10 > 20 are 6, 7, and 8.