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What is the difference between inequalities and equations?
Equation: A statement that asserts that two mathematical expressions are equal in value. If this is true for all values of the variables involved then it is called an identity, and where it is only true for some values it is called a conditional equation. Inequality: A statement that uses the symbols > (greater than), < (less than), ≥ (greater than or equal to), ≤ ( less than or equal to) to indicate that one of the quantity is larger or smaller than another. An inequality holds for all values of the variables involved. If a statement that uses one of the symbols above holds only for some values of the variables involved then it is called an inequation. An inequality is comparable to an identity. If you'd want to put it into easier kid friendly words, an inequality is a statement where two sides of the inequality are not equal. Equations on the other hand, two sides should always be equal, no mater how messed up hard one side might look to you. Trust me I've been there.
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.
Why does the inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations Why or why notWrite an inequality for your classmates to solve I?
-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"
What is the inequality of x2?
Without further information, the only inequality is x2 ≥ 0 (assuming x is real). In the complex domain, there is no inequality.
Do you only flip the inequality when you divide by a negative number?
Yes you do, you also flip the inequality sign if you multiply by a negative # The > and < signs are strictly the "Greater than" and "Less than" signs. The inequality sign is an = with a / stroke through it. If you divide an inequality by -1 it remains an inequality.
What in the difference between a numerical and algebraic expression?
Numerical equations have only numbers and symbols, while algebraic equations have variables also.
What is the difference between inequalities and equations?
Equation: A statement that asserts that two mathematical expressions are equal in value. If this is true for all values of the variables involved then it is called an identity, and where it is only true for some values it is called a conditional equation. Inequality: A statement that uses the symbols > (greater than), < (less than), ≥ (greater than or equal to), ≤ ( less than or equal to) to indicate that one of the quantity is larger or smaller than another. An inequality holds for all values of the variables involved. If a statement that uses one of the symbols above holds only for some values of the variables involved then it is called an inequation. An inequality is comparable to an identity. If you'd want to put it into easier kid friendly words, an inequality is a statement where two sides of the inequality are not equal. Equations on the other hand, two sides should always be equal, no mater how messed up hard one side might look to you. Trust me I've been there.
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.
Why does the inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations Why or why notWrite an inequality for your classmates to solve I?
-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"
Do you flip the inequality sign if the only the variable is negative?
No, you only flip the inequality sign if you are dividing by a negative number on both sides of the inequality
How do you make this 437-3x in-equality?
440
Can equations and inequalities be solved the same way?
Mostly true.As with equations, you can add or subtract the same amount to each side of an inequality. You can also multiply or divide by any positive number. The only difference is that if you multiply or divide by a negative number then the direction of the inequality needs to be flipped.For example, if 2x < 8 (ie x < 4), then2x - 8 < 8 - 8or (2x)/4 < 8/4but -3*2x > -3*8
What is the solution to the inequality x4-52?
56
What are the advantages of using symbols instead of words?
Using symbols can help convey meaning quickly and efficiently. Symbols are often universal and can be easily recognized across different languages and cultures. Additionally, symbols can save space and reduce the need for translation, making them a practical choice for communication.
When is the only time you flip an inequality sign?
When you divide both sides of an inequality by a negative number, the inequality sign flips.
What is the solution set for 2x2 plus 2x plus 1?
There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.
What is the inequality of x2?
Without further information, the only inequality is x2 ≥ 0 (assuming x is real). In the complex domain, there is no inequality.
