How are the solutions of an inequality different from the solutions of an equation?

How are the solutions of an inequality different from the solutions of an equation?

The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!

What is similar about equations and inequalities What is different about equations and inequalities?

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation the two expressions are deemed equal which is shown by the symbol =. Where as in an inequality the two expressions are not necessarily equal which is shown by the symbols: >, <, ≤ or ≥.

What is the different between equation and inequality?

An equation -as the name suggests- represents the equality between two variables in the given formulation. The left side of an equation is invariably equal to the right side. Inequalities, on the other hand, are mathematical statements of the inequality between variables.

Can you write an inequality that has no solution?

As with equalities, it’s possible for inequalities to have no solution. And, just to make your life a little more fun, it’s also possible that the solution to an inequality can include all real numbers.

How do you get all real numbers as an answer?

Isolate the x term by subtracting x from both sides. You arrive at the true statement “3 = 3”. When you end up with a true statement like this, it means that the solution to the equation is “all real numbers”. Try substituting x = 0 into the original equation—you will get a true statement!

Can an inequality have more than one solution?

1 Answer. Most of the time, an inequality has more than one or even infinity solutions. For example the inequality: x>3 . The solutions of this inequality are “all numbers strictly greater than 3”.