For each value of w, determine whether it is a solution to >12w.
w Is it a solution?
Yes No
12
17
8
10
w Is it a solution?
Yes No
12 Yes
17 Yes
8 No
10 Yes
To determine whether each value of w is a solution to > 12w, we can substitute the value of w into the inequality and check if the statement is true or false.
Let's evaluate each value of w:
For w = 12:
Is >12w true?
Substituting w = 12 into the inequality, we have: > 12(12)
Simplifying, we get: > 144
Since we don't know the exact inequality (greater than or less than), we can't determine whether the statement is true or false.
For w = 17:
Is >12w true?
Substituting w = 17 into the inequality, we have: > 12(17)
Simplifying, we get: > 204
Again, since we don't know the exact inequality, we can't determine whether the statement is true or false.
For w = 8:
Is >12w true?
Substituting w = 8 into the inequality, we have: > 12(8)
Simplifying, we get: > 96
Once again, since we don't know the exact inequality, we can't determine whether the statement is true or false.
For w = 10:
Is >12w true?
Substituting w = 10 into the inequality, we have: > 12(10)
Simplifying, we get: > 120
As we don't know the exact inequality, we can't determine whether the statement is true or false.
Therefore, for each value of w, we cannot determine whether it is a solution to > 12w.
To determine whether each value of w is a solution to the inequality 12w > 0, we need to substitute the value of w into the inequality and check if it is true or false.
For the given values of w:
1. Substitute w = 12 into the inequality: 12 * 12 > 0. This simplifies to 144 > 0, which is true.
2. Substitute w = 17 into the inequality: 12 * 17 > 0. This simplifies to 204 > 0, which is true.
3. Substitute w = 8 into the inequality: 12 * 8 > 0. This simplifies to 96 > 0, which is true.
4. Substitute w = 10 into the inequality: 12 * 10 > 0. This simplifies to 120 > 0, which is true.
Therefore, for all given values of w, the inequality 12w > 0 is true.