The required solution of the inequality is x < - 6.
Given that,
To solve the equation −2x − 4 > 8.
<h3>What is inequality?</h3>
Inequality can be described as the consideration of the equation including the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
The given equation
−2x − 4 > 8
adding 4 on both sides
-2x > 12
multiply by -1
when multiplying the negative -1 it will change the behavior of the inequality, so.
2x < - 12
Divide by 2 into both sides
x < - 6
Thus, the required solution of the inequality is x < - 6.
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1/3 half of it is going with the stars
The shortest distance between the airport A and airport B travels by airplane which departs airport A at a heading of 300 (N 60 W) is 401 miles.
<h3>What is the law of cosine?</h3>
When the two sides of and one angle is known, then to find the third side, the law of cosine is used.
It can be given as,

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
An airplane departs airport A at a heading of 300 (N 60 W). After traveling 320 miles, the airplane adjusts its course to 350 (N 10 W) and flies an additional 112 miles to reach airport B.
The image of this problem is attached below. In this image, the two sides 112 miles and 320 miles are shown and the angle between them is 130 degrees. Thus, the value of x is,

Hence, the shortest distance between the airport A and airport B travels by airplane which departs airport A at a heading of 300 (N 60 W) is 401 miles.
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Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps