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When solving an inequality you must reverse the order of the inequality whenever you multiply both sides of the inequality by any number.?
You only need to reverse the order of the inequality when multiplying or dividing both sides by a negative number. If you multiply or divide by a positive number, the order of the inequality remains the same. This is crucial to maintain the truth of the inequality. Always be cautious about the sign of the number you are using in these operations.
What else can I help you with?
How do you clear decimals when solving an inequality?
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 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?"
What are the properties in solving equations and inequations?
You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.
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 the similarities of solving equations and inequalities?
You solve an inequality in exactly the same was as you solve an equation, by doing the same thing to both sides. The only difference is if you multiply/divide by a negative number, when you have to turn the inequality around.
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.
When solving an inequality when do you reverse the inequality sign?
When you divide both sides by a negative value
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.
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?"
What are the properties in solving equations and inequations?
You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.
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 ">".
Explain how solving inequalities is alike and different from solving equations?
Most of the steps are the same. The main difference is that if you multiply or divide both sides of an inequality by a NEGATIVE number, you must change the direction of the inequality sign (for example, change "less than" to "greater than").
What is the similarities of solving equations and inequalities?
You solve an inequality in exactly the same was as you solve an equation, by doing the same thing to both sides. The only difference is if you multiply/divide by a negative number, when you have to turn the inequality around.
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 do you solve the inequality2x -10 6?
This isn't an inequality, since there is no less-than, greater-than, less-than-or-equal, or greater-than-or-equal sign. However, solving inequalities is similar to solving equations; however, when you multiply by a negative number, you must change the direction of the inequality sign.
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.
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
