Police officer to Speedzilla he was speeding at or above 120 miles per hour. Write an inequality to express Speedzilla speed, then show in graph, write in set notation.
dma040 doesn't tell anyone what the subject is. You can only hope someone with expertise in math inequalities will click on this and be able to help.
I believe it is x is greater than or equal to 120
To write an inequality expressing Speedzilla's speed, let's assume "s" represents the speed of Speedzilla in miles per hour. Given that Speedzilla was speeding at or above 120 miles per hour, we can write the following inequality:
s ≥ 120
To illustrate this inequality on a graph, we will represent the speed on the y-axis and time on the x-axis. Since we only have one variable (speed), we'll have a vertical line going up from the point (120,0) and shading the area above it. This represents all the speeds that are greater than or equal to 120 miles per hour.
In set notation, we can express this inequality as:
{ s | s ≥ 120 }
This set contains all the possible values of "s" (Speedzilla's speed) when "s" is greater than or equal to 120.