Solve the inequality and graph the solution 4x-5>7
1 answer:
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.
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Answer:
It will take weeks to recycle a total of 45 kg of paper
Step-by-step explanation:
W represents the number of weeks the office has been on the new recycling plan
P represents the total kilograms of paper recycled.
It took weeks to recycle P kilograms of paper = W
It took weeks to recycle 1 kilogram of paper =
It took weeks to recycle 45 kilograms of paper =
Hence It will take weeks to recycle a total of 45 kg of paper
Two lines are perpendicular when the product between the slopes of the lines is equal to -1, then, if we have the following lines:
they will be perpendicular if,
According to the exercise, the first line is:
the slope for this line is -4.
Write the equation that makes two lines perpendicular,
solve for m2,
Answer:
The slope of the line perpendicular to y=-4x+7 is 1/4.