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Solving an equation and solving an inequality both involve finding values that satisfy a mathematical condition. In both cases, you manipulate expressions using similar operations, such as addition, subtraction, multiplication, and division. However, when solving inequalities, you must be cautious with operations that can reverse the inequality symbol, particularly when multiplying or dividing by a negative number. Ultimately, both processes aim to identify a set of values that meet the specified criteria, whether exact (equation) or a range (inequality).
What else can I help you with?
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.
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.
What is the first step to solving an equation?
The first step to solving an equation is to simplify both sides as much as possible. This includes combining like terms and eliminating any unnecessary parentheses. Once the equation is simplified, you can then isolate the variable by performing inverse operations to both sides of the equation.
How do you figure out inequalities?
Treat it like a normal equation. Except if you divide/multiply by a negative number you reverse the inequality. That's basically it.
How is solving an equation with fractions like solving an equation with whole numbers how is it different?
Solving an equation with fractions is similar to solving one with whole numbers in that both involve isolating the variable and maintaining balance throughout the equation. However, the presence of fractions often requires additional steps, such as finding a common denominator or multiplying through by that denominator to eliminate the fractions. This can make calculations more complex, but the fundamental principles of equality and operation remain the same in both cases. Ultimately, both types of equations aim to find the value of the variable that satisfies the equation.
What is the answer to this inequality 3p - 6 21?
The answer to the equation is p is equal to nine. You solve the equation by putting like terms together and then solving for p.
How is a solution of an inequality like a solution of an equation?
X+9=17;8
How to solve the real number?
A real number is not a question nor an equation or inequality that can be solved. There may be questions associated with real numbers that may be solved but that is not the same as solving the real number. The question is like asking how someone can solve you!
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.
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.
Explain how solving -7y > 161 is different from solving 7y > -161?
Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y
How is solving a two step equation like solving one step equation?
the alikes of solving a one-step or two-step equation: in solving an equation is to have only variables on one side of the equal sign and numbers on the other side of the equal sign. The other alike is to have the number in front of the variable equal to one the variable does not always have to be x. These equations can use any letter as a variable.
What is the first step in solving an equation using logical sequencing?
Combine like terms
What is the first step to solving an equation?
The first step to solving an equation is to simplify both sides as much as possible. This includes combining like terms and eliminating any unnecessary parentheses. Once the equation is simplified, you can then isolate the variable by performing inverse operations to both sides of the equation.
How is a decimal equation like solving a whole number equation?
Because you use the same strategies and skills, but you just put a decimal sign in.
A single element in an expression equation or inequality?
A single element in a mathematical equation is known as a variable. In algebra, a variable is usually a letter, like "X" or "Y," that is solved for.
How do you figure out inequalities?
Treat it like a normal equation. Except if you divide/multiply by a negative number you reverse the inequality. That's basically it.
