Question

I need help...

The difference of twice a number and 8 is greater than or equal to 27

Answer 1

2x-8 ≥ 27

Step-by-step explation

2x-8 ≥ 35

2x ≥ 35

x ≥ 17.5 (17 1/5)

So x should be 17.5 or more in order the when you multiply 35 by 2 and then subtract 8 the result will be 27 or more

Example x= 17( will not match the inequality because x should be 17.5 or greater)

17*2 = 34

34-8=26 (this is less than 27)

x=18

18*2=36

36-8=28 (28 is greater than 27,so it matches the inequality)

so x could be from 17.5 to intinite

On the number line you mark the number 17.5 filling the dot and you draw an arrow to the right

Answer 2

-2x + 8 (greater than or equal to sign) 27

Explanation:

Twice a number = 2x now add a negative sign since it is "difference"

Add 8 (it says "and")

lastly, the sign and 27.