What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"
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).
No professions use order of operations. It is just a method of solving an equation.
When solving equations remember that whatever operations are performed on the LHS of the equation must be performed on its RHS to keep the equation in balance.
whats the difference between solving an inequality by algebriac vs graphical
None. Properties of inequalities are not that relevant when solving equalities.
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).
In solving an inequality you generally use the same methods as for solving an equation. The main difference is that when you multiply or divide each side by a negative, you have to switch the direction of the inequality sign. The solution to an equation is often a single value, but the solution to an inequality is usually an infinite set of numbers, such as x>3.
What is the inherent meaning and justification of cross-multiplication as it applies to solving an inequality
No professions use order of operations. It is just a method of solving an equation.
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.
It's the same thing as solving an equation, the minor difference is to change the inequality sign when the numbers change signs(i.e negative to positive to negative).
When solving equations remember that whatever operations are performed on the LHS of the equation must be performed on its RHS to keep the equation in balance.
whats the difference between solving an inequality by algebriac vs graphical
None. Properties of inequalities are not that relevant when solving equalities.
In algebra, you perform the operations inside parentheses first.
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 ">".
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.