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Can you divide both sides of the equation by a negative number?

Yes, you can divide both sides of an equation by a negative number, but it is important to remember that this action will reverse the inequality if the equation involves one. For example, if you have an inequality like ( x > y ) and you divide both sides by a negative number, the inequality changes to ( x < y ). In the case of an equation, however, the equality remains valid.


Is the quotient of tirty-five and a number t is less than or equal to seven and equation or inequality?

It is considered an inequality.


What is the product of sixteen and a number divided by four?

four times the number


How do you solve a linear equation of an inequality or equation?

To solve a linear equation or inequality, first isolate the variable on one side of the equation or inequality. For an equation, use operations like addition, subtraction, multiplication, or division to simplify until the variable is alone (e.g., (ax + b = c) becomes (x = (c-b)/a)). For an inequality, follow similar steps but remember to reverse the inequality sign if you multiply or divide by a negative number. Finally, express the solution in interval notation or as a graph on a number line, depending on the context.


How would you prove that an inequality does have the same solution that an equation would have?

If you're given the inequality and the equation, then the way to prove that they have the same solution is to solve each one and show that the solutions are the same number. Don't strain yourself, though. An inequality and an equation never have the same solution.

Related Questions

Is a number an expression equation or inequality?

A number is an expression. It is not an equation, or an inequality, since it doesn't have an equal sign, or an inequality (greater than, less than, etc.) sign.


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.


Can you divide both sides of the equation by a negative number?

Yes, you can divide both sides of an equation by a negative number, but it is important to remember that this action will reverse the inequality if the equation involves one. For example, if you have an inequality like ( x > y ) and you divide both sides by a negative number, the inequality changes to ( x < y ). In the case of an equation, however, the equality remains valid.


Is the quotient of tirty-five and a number t is less than or equal to seven and equation or inequality?

It is considered an inequality.


What is the product of sixteen and a number divided by four?

four times the number


How do you solve a linear equation of an inequality or equation?

To solve a linear equation or inequality, first isolate the variable on one side of the equation or inequality. For an equation, use operations like addition, subtraction, multiplication, or division to simplify until the variable is alone (e.g., (ax + b = c) becomes (x = (c-b)/a)). For an inequality, follow similar steps but remember to reverse the inequality sign if you multiply or divide by a negative number. Finally, express the solution in interval notation or as a graph on a number line, depending on the context.


How do you solve 6.021023?

6.021023 is a single number: not an equation or inequality. You cannot solve a single number!


How would you prove that an inequality does have the same solution that an equation would have?

If you're given the inequality and the equation, then the way to prove that they have the same solution is to solve each one and show that the solutions are the same number. Don't strain yourself, though. An inequality and an equation never have the same solution.


What is a number sentence?

A number sentence is typically an equation or inequality expressed using numbers, and common symbols.


What is number sentencs?

A number sentence is typically an equation or inequality expressed using numbers, and common symbols.


How is inequality differant from equation?

The difference is that instead of the sign "=", an inequality sign, for example "<" (less-than) is used. For solving inequalities, you can add, subtract, multiply or divide both sides by the same number, similar to an equation; however, if you multiply or divide by a negative number, the direction of the inequality changes. For example, "<" becomes ">".


What is the equation for two more than the product of a number N and 18 is equal to the product of the number N and 19?

The equation is: 18N+2 = 19N