Answer:
[tex]x\leq 35[/tex] where [tex]x[/tex] denotes speed of the car
Step-by-step explanation:
Given: The speed limit on a city street is 35 kilometers per hour.
To write and graph: an inequality to describe a car’s possible speed.
Solution:
Let the speed of a car be [tex]x[/tex] kilometers per hour.
As the speed limit on a city street is 35 kilometers per hour,
[tex]x\leq 35[/tex]
First draw the graph of [tex]x=35[/tex] (see figure a.)
Plot the points [tex](35,0),(35,5),(35,10),(34,15)[/tex]
Take a point on the left side of line x = 35 say [tex](x,y)=(0,0)[/tex] and put it in [tex]x\leq 35[/tex]
[tex]0\leq 35[/tex] which is true.
So, shade the graph on the left side of line x = 35
See the graph b.
the pink part represents the inequality [tex]x\leq 35[/tex]