-2(x-7)<-10 graph line?
1 answer:
x < 12
Solution:
Given expression is –2(x – 7) < –10.
Let us first solve the inequality and find the value of x.
⇒ –2(x – 7) < –10
⇒ –2x + 14 < –10
Subtract 14 on both sides of the expression, we get
⇒ –2x + 14 – 14 < –10 – 14
⇒ –2x < –24
Divide by –2 on both sides of the expression, we get
⇒ x < 12
Hence the value of x is less than 12.
The image of the graph is attached below.
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Answer:
<em>Answer: Quadrant 4</em>
Step-by-step explanation:
<u>Graph of Functions </u>
Let's analyze the function
To better understand the following analysis, we'll factor y
For y to have points in the first quadrant, at least one positive value of x must produce one positive value of y. It's evident that any x greater than 0 will do. For example, x=1 will make y to be positive in the numerator and in the denominator, so it's positive
For y to have points in the second quadrant, at least one negative value of x must produce one positive value of y. We need two of the factors that are negative. It can be seen that x=-2 will make y as positive, going through the second quadrant.
For the third quadrant, we have to find at least one value of x who produces a negative value of y. We only need to pick a value of x that makes one or all the factors be negative. For example, x=-4 produces a negative value of y, so it goes through the third quadrant
Finally, the fourth quadrant is never reached by any branch because no positive value of x can produce a negative value of y.
Answer: Quadrant 4