If the representation of an inequality on a number line features a hollow circle with an arrow pointing leftward, what symbol would be used in the inequality itself?(1 point)
Which statement is true about the number of solutions to an inequality?(1 point)
It depends on the specific inequality. Some inequalities have infinitely many solutions, some have one solution, and some have no solutions.
Which statement is true about the number of solutions to an inequality?(1 point)
Responses
It depends how far you draw the number line.
It depends which inequality symbol you use.
It is always infinite.
It depends where you start on the number line.
None of the options accurately describes the number of solutions of an inequality. As mentioned earlier, the number of solutions varies from inequality to inequality, and it's not related to the number line, inequality symbol, or starting point on the number line. Therefore, the correct option is None of the above.
An inequality using any of the inequality symbols has an infinite number of solutions. An inequality using all but one of the inequality symbols also has an infinite number of nonsolutions. Which inequality symbol produces an inequality with a finite number of nonsolutions?
The inequality symbol that produces an inequality with a finite number of nonsolutions is "=" (equals). Since it is not an inequality symbol, its use will result in a statement of equality instead of inequality. Therefore, any equation with "=" will have a finite number of nonsolutions.
