What is the solution to the inequality below?
1 answer:
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For the integer values of the interval <span>-2 ≤ x ≤ 2, that is for {-2, -1, 0, 1, 2}, the function works as follows:
</span>
[-2]=-2, [-1]=-1 [0]=0 [1]=1 [2]=2,
as each of -2, -1, 0, 1, 2 is smaller or equal to themselves.
Each value in between, produces the integer to their right.
For example, [1,25]=2, because 2 is the smallest integer, greater than 1,25.
Thus, the output of each non-integer value is the closest integer to the right. Some more examples:
[0,7]=1, [0.46]=1, [-0,5]=0, [-1,33]=-1.
The graph is as shown in the picture.
</span>
[-2]=-2, [-1]=-1 [0]=0 [1]=1 [2]=2,
as each of -2, -1, 0, 1, 2 is smaller or equal to themselves.
Each value in between, produces the integer to their right.
For example, [1,25]=2, because 2 is the smallest integer, greater than 1,25.
Thus, the output of each non-integer value is the closest integer to the right. Some more examples:
[0,7]=1, [0.46]=1, [-0,5]=0, [-1,33]=-1.
The graph is as shown in the picture.
Answer:
420 meters
Step-by-step explanation:
Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?
<u>Given</u>:
Circumference of circular tire = 2.8 meters
Tire revolves per second = 1.5 times
<u>Question asked:</u>
What is the distance Benjamin travels in 100 seconds?
<u>Solution:</u>
Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.
<em><u>Now, by unitary method:</u></em>
In 1 second, tire revolves = 1.5 times
In 100 seconds, tire revolves = 1.5 100
= 150 times
Distance covered by the tire when it revolves 1 time = 2.8 m
Distance covered by the tire when it revolves 150 times = 2.8 150
= 420 meters
Therefore, Benjamin travels 420 meters in 100 seconds.