Answer:
x > 3
interval notation: (3, ∞)
Step-by-step explanation:
Given the inequality statement: 4x - 5 > 7,
The goal is to isolate x and find its solution.
Start by adding 5 to both sides:
4x - 5 + 5 > 7 + 5
4x > 12
Divide both sides by 4:
4x/4 > 12/4
x > 3
The solution can also be expressed in the following interval notation:
(3, ∞).
In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.
Answer: Choice C
Graph with filled in circles at d = 0 and d = 2, shading in between
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Explanation:
d = amount downloaded in gigabytes
The smallest amount is d = 0. We cannot download a negative amount of data, so this is why d = 0 is the smallest.
The largest amount allowed is d = 2. This is the cap that the ISP has set up.
So basically d can be anything between d = 0 and d = 2, including both endpoints. This means
We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.
For this question we will use the following relations.
100 centimeters=1 meter (or 1 centimeter= 0.01 meter)
10 millimeter=1 centimeter (or 1 mm=0.1 cm)
60 minutes = 1 hour (or 1 min=
hour)
Now, Jackson's speed is 1350 meters per hour. This can be converted to cm per minute as follows:
...Equation 1
Likewise, Jonah's swim speed in cm/min can be calculated as:
...Equation 2
As we can see clearly after comparing Equation 1 and Equation 2, Jonah's swim speed of 7500 cm/min is faster than that of Jackson.
Thus, option B is correct.
Answer:
No answer can be found
Step-by-step explanation:
There isn't any value to find and express in simplest form lol.
