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}

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

i dont get the question

step-by-step explanation: