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How do you write an inequality with no solution?

How do you write an inequality with no solution?

Isolate the absolute value expression on the left side of the inequality. If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.

How do you describe inequalities in words?

An inequality is a mathematical statement that compares two expressions using the ideas of greater than or less than….Inequality Signs.

Symbol Words Example
< less than 2<11 , 2 is less than 11
greater than or equal to 4≥4 4 ≥ 4 , 4 is greater than or equal to 4

What is a inequality statement?

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

How do you tell if a system of inequalities has no solution?

When two inequalities have parallel lines and the shaded areas do not overlap (i.e., the opposite areas are shaded), then the system has no solution. This means that there is no coordinate point that makes both inequalities true.

What do you need to know about solving inequalities?

Solving Inequalities. Solving an inequality that includes a variable gives all of the possible values that the variable can take that make the inequality true. To solve an inequality means to transform it such that a variable is on one side of the symbol and a number or expression on the other side.

When to use an inequality in a sentence?

An inequality is used when we don’t know exactly what an expression is equal to. Instead of an equals sign, we use one of these symbols: > greater than. < less than. < less than or equal to. > greater than or equal to. Click on the sentences to translate them into inequalities.

When do you have two inequalities in one statement?

Two inequalities in one statement joined by the word “and” or by the word “or.” is actually two or more inequalities in one statement joined by the word “and” or by the word “or.” Compound inequalities with the logical “or” require that either condition must be satisfied.

How to graph the solution of a compound inequality?

Graph the solutions of a compound inequality on a number line, and express the solutions using interval notation. Expressions related with the symbols ≤ ≤, <, ≥ ≥, and >. , is read “ x is greater than or equal to 2.” This inequality has infinitely many solutions for x.