The desired inequalities are given as follows:
A. A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.
B. D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.
<h3>Which inequality represents graph A?</h3>
For graph A, as nothing is plotted on the line, we have a inequality with no solution.
The successor of a number(number plus 1), will always be greater than the number, hence the inequality that has no solution is:
A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.
<h3>Which inequality represents graph B?</h3>
For graph B, as the entire line is plotted, we have a inequality with all real values as solution.
From the same logic above, of the successor, the correct option is:
D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.
More can be learned about inequalities at brainly.com/question/25235995
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