Not all statements in mathematics involve dealing with equal quantities.
An expression such as "strictly greater than" means the value of a is greater than b, but cannot be equal to b. Note: Reversal of an inequality: 2 < 4 can be "reversed" and written as 4 > 2.
To CHECK an inequality, it is not possible to test every value.
"Phrases" Related to Inequalities: You will most likely run into the phrases listed below when working with inequalities.
"Determining" and "Evaluating" Inequalities: Questions may ask you to determine an inequality that best "fits" a described situation or a given set of data. Or, it may be the case that an inequality is given in a problem, and you must determine which values make the inequality true by substituting values into the given inequality.
Hint: Remember that an open circle means that value will not be included. An arrow to the left means the values are getting smaller.
Hint:Substitute the values into the inequality, in place of x, to determine whether that value makes the inequality true..
Hint: The values from the given sets can be substituted into the inequality. Remember that greater than -6 means values to the right of -6 on a number line. Is a closed circle on a graph a function?A circle cannot be a function, since it fails the vertical line test. That is, we can draw a vertical line that intersects the graph of a circle more than once.
Is closed dot on graph?On a graph, a solid dot is used for a closed endpoint and a hollow dot is used for an open endpoint.
|