For each of the graphs below choose inequality that best represent the graph. explain your reasoning.

a. This graph represents an inequality that has:
A. No solution.
B. All real numbers as the solution.
One such inequality is:
A. x > x + 1.
B. x + 2 < 1.
C. x + 2 > 1.
D. x < x + 1.
Because solving it yields ___, an inequality which is:
A.True.
B.False.
for all real numbers x.
(Type an inequality. Simplify your answer).

Question

contestada

Respuesta :

joaobezerra joaobezerra · Answer 1 · 2022-09-07T20:40:23+02:00

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.

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.

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 https://brainly.com/question/25235995

#SPJ1