Select the graph of the solution. Click until the correct graph appears.
1 answer:
Answer: Third Graph
Step-by-step explanation:
<u>Given inequality</u>
|x| + 1 > 2
<u />
<u>Subtract 1 on both sides</u>
|x| + 1 - 1 > 2 - 1
|x| > 1
<u>Simplify the absolute value sign</u>
x > 1 or x < -1
<u>Apply the inequality to the graph</u>
Since it is less than or greater than, the circle should be <u>hollow</u>
Since it is less than -1 or greater than 1, one line should <u>point to the left </u>and another should <u>point to the right</u>
Therefore, it should be the<u> Third Graph</u>
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The required equation of line parallel to given line is:
Step-by-step explanation:
Given equation of line is:
As the equation of line is in slope-intercept form, the co-efficient of x s the slope
Let m1 be the slope of given line
m1= 5/6
Let m2 be the slope of new line
As the slopes of two parllel lines are equal, so
m1 = m2
m2 = 5/6
The slope intercept form is:
Put m2 = 5/6 in equation
Putting the point in the equation
Putting the value of b, we get
Hence,
The required equation of line parallel to given line is:
Keywords: Slope intercept form, equation of line
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