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.
An inequality with "and" is true if BOTH inequalities are true. Inequality with "or" is true if ONE of the inequalities are true.
I assume you have inequalities that involve variables. If you replace the variable by some number, you will get an inequality that is either true or false. A value for the variable that results in a true statement is said to "satisfy" the inequality. For example, in: x + 3 > 10 If you replace x by 8, you get a true statement, since 11 is greater than 10; if you replace x by 7, you get a false statement, since 10 is not greater than 10. In this case, there are two inequalities; you have to find all numbers that satisfy both inequalities; in other words, that convert both inequalities into true statements.
true
"What is the difference between inequalities and equations" is a question, not a statement. A question cannot be true or false. It can be pointless, or badly phrased or misguided but that is a different matter.
It means to find all the numbers for which the inequality is true.
An inequality with "and" is true if BOTH inequalities are true. Inequality with "or" is true if ONE of the inequalities are true.
I assume you have inequalities that involve variables. If you replace the variable by some number, you will get an inequality that is either true or false. A value for the variable that results in a true statement is said to "satisfy" the inequality. For example, in: x + 3 > 10 If you replace x by 8, you get a true statement, since 11 is greater than 10; if you replace x by 7, you get a false statement, since 10 is not greater than 10. In this case, there are two inequalities; you have to find all numbers that satisfy both inequalities; in other words, that convert both inequalities into true statements.
true
It means that, given a set of unknown variables, you have a set of values such that if you substitute these values for the corresponding unknowns in the equations or inequalities you have a set of statements which are all true.
Identities are statements that are true for any number.
Unfortunately, not having the full statements will make this more difficult to answer. (A) is False; (B) is True; (C) is Imcomplete and therefore could be true or false.
false
What are three statements that are true about Francis Drake?
"What is the difference between inequalities and equations" is a question, not a statement. A question cannot be true or false. It can be pointless, or badly phrased or misguided but that is a different matter.
if 2 < x < 6 ; which of the following statements about x are necessarily true, and which are not necessarily true? a) 0 < x < 4
It means to find all the numbers for which the inequality is true.
Statements that always or never hold true are called "tautologies."