Which of these integers is/are in the solution set of │5 – 5x│ < 10?

 {0, 1, 2}

Step-by-step explanation:

| 5 - 5x | < 10

The inside of the absolute value can be negative or positive, so we need to solve for both possibilities:

-(5 - 5x) < 10              +(5 - 5x) < 10

Note: remember to swap the sign when dividing by a negative

  5 - 5x > -10                 5 - 5x < 10  

      -5x  > -15                    -5x < 5

         x   <  3                         x > -1  

                       -1 < x < 3

Graph:     -1 o·o 3

The integers BETWEEN AND NOT INCLUDING  -1 and 3 are: {0, 1, and 2}

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.

answer: 193

explanation:

200-7 = 193