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When you multiply or divide an inquality by a negative number you must reverse the sense of inequality why?
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.
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.
What is the difference between the words and and or in a compound inequality?
In a compound inequality, "and" indicates that both conditions must be true simultaneously for the overall statement to be true. For example, in the inequality (x > 2 \text{ and } x < 5), (x) must be greater than 2 and less than 5 at the same time. Conversely, "or" means that at least one of the conditions must be true. For example, in the inequality (x < 2 \text{ or } x > 5), (x) can be either less than 2 or greater than 5, satisfying the inequality.
What is a statement that compares two expressions by using or any other inequality sign?
That is called an inequality.
What is the inequality statement for -4 and 9?
-4 < 9
Is this statement true or falseThis following statement is an example of the Multiplication Property of Inequality?
true
Is this inequality true 6-8 equals 2?
The statement is an equality, and it's true.
How do you decide if a number is a solution to the inequality?
Substitute the number in place of the variable, and see whether the inequality is then a true statement.
a number when substituded in to an open sentence makes 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.
How do you decide whether a number is a solution of an inequality?
Substitute the number in place of 'x' in the inequality, and see whether the statement you have then is true.
is this statement true or false a solution of equations with two variables can be written as an inequality?
false
How do tell the solution of an inequality?
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.
When you multiply or divide an inquality by a negative number you must reverse the sense of inequality why?
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.
When can you say that a number is called a solution in algebraic expression?
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.
What are linear inequalities in two variables?
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.
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.
A statement that two expressions are not equal?
inequality
