Answer:
w = 7, and w = 8 is correct
Explanation:
1. Why 5 does not work
a. Substitute 5 into the equation
5w-10>20 --> 5(5) - 10 > 20
b. Solve the equation
Remember Pemdas:
P- Parentheses First
E- Exponents Second
M- Multiplication Third
D- Division Fourth
A- Addition Fifth
S- Subtraction Sixth
We are not working with Exponents and Parentheses, but we are working with the rest.
Since there is no P and E, that means that multiplication is first
5(5)-10>20 - 5(5) = 5 x 5 = 25
Now all is left is to subtract:
25 - 10 = 15
15 > 20 Is not true.
2. Why 6 does not work
a. Substitute
5w-10>20 --> 5(6) - 10 > 20
b. Solve
5(6) = 5 x 6 = 30
30 - 10= 20
20 > 20 is not true
Just like you are not greater than yourself, 20 can not be greater than its own self.
3. Why 7 and 8 work (7a, 7b is 7; 8a, 8b is 8)
7a. Substitute
5w-10>20 --> 5(7) - 10 > 20
8a. Substitute
5w - 10 >20 --> 5(8) - 10 > 20
7b. Multiply and subtract
5(7) = 5 x 7 = 35
35 - 10 = 25
25 > 20
25 is greater than 20
8b. Multiply
5(8) = 5 x 8 = 40
40 - 10 = 30
30 > 20
30 is greater than 20
Hereby, w = 7, and w = 8
Hope this helps
-jp524