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To clear decimals in an inequality, multiply every term in the inequality by a power of ten that eliminates the decimal points. For example, if the inequality is 0.5x < 1.2, you would multiply all terms by 10 to get 5x < 12. After multiplying, ensure the direction of the inequality remains the same, and proceed to solve the inequality as you normally would.
What else can I help you with?
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"
How is solving an equation containing decimals similar to solving an equation containing fractions?
Fractions and decimals that represent the same value are equivalent. For example, 1//4 and 0.25 are equivalent.
Why do you clear decimals when solving linear equations and inequalities?
To make them look more familiar and approachable to beginning algebra students. It's completely unnecessary with the advent of calculators though.
How is the process of solving an equation like solving 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).
What is solving inequalities?
It means to find all the numbers for which the inequality is true.
Why do you clear decimals when solving a linear equation?
because you just do!
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"
Why should you clear decimals when solving linear equations and inequalities?
It makes it allot less confusing. But, that is just my opinion.
How is solving an inequality different from solving an equation?
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.
When solving an inequality when do you reverse the inequality sign?
When you divide both sides by a negative value
Why do you clear decimals when solving linear equations and inequalities and example?
Even if you keep the decimal, later on you will still have to remove it. It is just an easier way to solve the equation.
When solving an inequality when is it necessary to change the direction of the inequality symbol?
When the two sides of the inequality are multiplied or divided by a negative number or term or expression.
When you must reverse the inequality sign?
When solving an inequality, you must revers the inequality sign when you multiply (or divide) both sides by a negative number.
What is the difference between a compound inequality using the word and and compound inequality using the word or?
The difference between them is that when solving an "and" inequality you are comparing two inequalities and when you are solving an "or" inequality you dont compare, you only use one inequality example of "and" . 2<x+3<7 example of "or" . 4<d or m<1
How is solving an equation containing decimals similar to solving an equation containing fractions?
Fractions and decimals that represent the same value are equivalent. For example, 1//4 and 0.25 are equivalent.
Why do you clear decimals when solving linear equations and inequalities?
To make them look more familiar and approachable to beginning algebra students. It's completely unnecessary with the advent of calculators though.
How is the process of solving an equation like solving 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).
