Solve |x-1| = 6x + 12
2 answers:
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we will proceed to resolve each case to determine the solution
we have
we know that
If an ordered pair is the solution of the inequality, then it must satisfy the inequality.
<u>case a)</u>
Substitute the value of x and y in the inequality
------> is True
therefore
the ordered pair is a solution of the inequality
<u>case b)</u>
Substitute the value of x and y in the inequality
------> is False
therefore
the ordered pair is not a solution of the inequality
<u>case c)</u>
Substitute the value of x and y in the inequality
------> is True
therefore
the ordered pair is a solution of the inequality
<u>case d)</u>
Substitute the value of x and y in the inequality
------> is True
therefore
the ordered pair is a solution of the inequality
<u>case e)</u>
Substitute the value of x and y in the inequality
------> is False
therefore
the ordered pair is not a solution of the inequality
<u>Verify</u>
using a graphing tool
see the attached figure
the solution is the shaded area above the line
The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality
