Jalen solved the equation |x-2| - 1 > 2 by graphing. Which graph can Jalen use to show his solution?
2 answers:
For this case we have the following inequality:
We can rewrite the inequality as follows:
From here, we have two possible cases:
Case 1:
Case 2:
Therefore, graphically, it is observed that the solution is:
(5, ∞)
(-∞, -1)
To do this, we must observe the shaded region in the graph, or equivalently the numerical line.
Answer:
(5, ∞)
(-∞, -1)
See attached image for the graphic solution
We can rewrite the inequality as follows:
From here, we have two possible cases:
Case 1:
Case 2:
Therefore, graphically, it is observed that the solution is:
(5, ∞)
(-∞, -1)
To do this, we must observe the shaded region in the graph, or equivalently the numerical line.
Answer:
(5, ∞)
(-∞, -1)
See attached image for the graphic solution
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Answer:
See below
Step-by-step explanation:
This graph could describe a relay race.
Jamie writes a scenario that can be modeled by the piecewise function on the graph.
The graph has time, in minutes on the x-axis and the distance, in miles on the y-axis.
The first part of the graph is the line starting from the origin through to the point (12, 1) then the second part starts from the point (12, 1) and ends on the point (20, 2).
1. A runner begins the race and runs at a steady pace for 1 minute.
- This is incorrect as describes the wrong axis.
It should say: a runner begins a race and runs at a steady pace for 12 minutes, completing 1 mile distance.
<u>The equation for this part:</u>
- y = mx + b
- b = 0 as it starts at origin.
- m = 1/12
- y = 1/12x
- x = [0, 12], y = [0, 1]
2. His partner then takes over and runs at a steady, but faster, pace for another 1 minute.
- Again, as above, wrong axis is described.
It should say: his partner then takes over and runs at a steady, but faster, pace for another 8 minutes, completing the last 1 mile of the race.
<u>The equation for this part:</u>
- b =1, as a starting point
- m = (2-1)/(20-12) = 1/8
- y = 1/8x + 1
- x = (12, 20], y = (1, 2]
