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Explain in your own words the difference between compound inequalities with and and those with or?
An inequality with "and" is true if BOTH inequalities are true. Inequality with "or" is true if ONE of the inequalities are true.
True or false in the graph of a nonlinear inequality the xy-plane is divided into shaded and unshaded regions?
true
What is the set of values for which an equation or inequality is true?
It is called the solution set.
What is solving inequalities?
It means to find all the numbers for which the inequality is true.
What could you do to make the inequalities that are not true into true statements?
To make inequalities that are not true into true statements, you would need to manipulate the inequality by performing the same operation on both sides. For example, if you have the inequality 4 > 6, you could subtract 2 from both sides to get 2 > 4, which is still not true. You could then multiply both sides by -1 to get -2 < -4, which is a true statement. By understanding the properties of inequalities and performing operations that maintain the inequality's direction, you can transform false inequalities into true ones.
