What is 2x+1<8x-2 I dont get it please help

x> 1/2

Step-by-step explanation:

if 2x+1∠ 8x-2

inequality , treat this problem like any other equation

have the unknown(x) in one side, and the values on the other side

2x-8x < -1-2

-6x< -3  we multiply by -1, do not forget if we multiply by -1 the sign will change

6x>3  divide by 3

2x>1

x>1/2

- "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."