The difference of twice a number and 2 is at least −26. use the variable for the unknown number. translate this sentence into an inequality.

2 (c-2) ≤ -26

Step-by-step explanation:

Let's look at the phrase "Twice the difference of a number and 8".

We're using c for the unknown number.

So "the difference of a number and 8" is written −c8.  

Taking twice this quantity, we get 2−c8.

The symbol for "is at most" is ≤. We get the following:

2 (c-2) ≤ -26

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x