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You must reverse the sense of inequality because, in essence, you're taking the opposite of both sides. In order to more properly show this, here's an example. 3>2 Three is greater than two. True statement, right? Let's multiply both sides by -1 -3>-2 The statement is no longer true. In order to keep the equation true, you must flip the inequality. As in -3<-2 Now, the statement is true again.
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.
That is called an inequality.
a statement that two quantities are unequal, indicated by the symbol I found this at http://dictionary.reference.com/browse/inequality
-4 < 9
true
The statement is an equality, and it's true.
Substitute the number in place of the variable, and see whether the inequality is then a true statement.
An equation or an inequality that contains at least one variable is called an open sentence. ... When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
Substitute the number in place of 'x' in the inequality, and see whether the statement you have then is true.
false
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
You must reverse the sense of inequality because, in essence, you're taking the opposite of both sides. In order to more properly show this, here's an example. 3>2 Three is greater than two. True statement, right? Let's multiply both sides by -1 -3>-2 The statement is no longer true. In order to keep the equation true, you must flip the inequality. As in -3<-2 Now, the statement is true again.
An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.
The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.
inequality
Inequality:)