Question

2. The speed limit on a city street is 35 kilometers per hour. Write and graph an inequality to

Answer 1

Answer:

$x\leq 35$ where $x$ 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 $x$ kilometers per hour.

As the speed limit on a city street is 35 kilometers per hour,

$x\leq 35$

First draw the graph of $x=35$ (see figure a.)

Plot the points $(35,0),(35,5),(35,10),(34,15)$

Take a point on the left side of line x = 35 say $(x,y)=(0,0)$ and put it in $x\leq 35$

$0\leq 35$ 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 $x\leq 35$