Respuesta :

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]

Ver imagen berno
Ver imagen berno