Question

HELP! Read the comments. 5w–10>20 ; with the given set → {5,6,7,8} its for an assignment

Answer 1

Answer:

w>6

5w−10>20

Add 10 to both sides.

5w>20+10

Step-by-step explanation:5w>20+10

Add 20 and 10 to get 30.

5w>30

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

w>

5

30

​

Divide 30 by 5 to get 6.

I think

Answer 2

Answer:

w = 7, and w = 8 is correct

Step-by-step 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