The word "OR" tells you to find the union of the 2 solution sets. The union is all the possible solutions from either inequality. So basically, a solution satisfies 1 or both of the individual inequalities. There are 3 possible scenarios. 1) Solution is All real numbers.
What are inequalities in math?
Inequalities are algebraic expressions that, instead of representing how two terms are equal to each other, represent how one term is less than, less than or equal, greater than, or greater than or equal than the other. Inequalities can be manipulated in the same way as equations but must consider a few extra rules.
What is the symbol for inequality in Algebra?
Inequalities: Symbols and Vocabulary. Algebra rules / General Rules: Isolate a positive x on the left side using algebra Reverse the inequality sign when mult/divide by a negative Less than: The symbol that: Looks like an L () for ess than.
What does a > B mean in inequality?
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≥ b means that a is greater than or equal to b.
How do you solve inequalities with numbers less than 5?
We still need to solve the inequality just like you would an equation. The only difference is that instead of one answer that makes the equation true, like x = 3, there are many answers that make an inequality true, like x < 5. In this case, all numbers less than five would make the inequality true.
What does or mean in an inequality?
“Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements. A compound inequality that uses the word “and” is known as a conjunction.
How do you tell if inequality is and or OR?
5:1611:31The difference between AND/OR compound Inequalities - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo if you watch one of my other videos remember that it deals with the idea of whatever X's areMoreSo if you watch one of my other videos remember that it deals with the idea of whatever X's are greater on either side of the inequality.
What is the difference between and and/or in inequalities?
The key difference is with "or", x only needs to satisfy one of the inequalities. With "and", x needs to satisfy both.
How do you know if an inequality is and or or from a graph?
To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.
Is absolute value and or or?
0:2412:27Solving Longer Absolute Value Problems (AND vs OR) - YouTubeYouTubeStart of suggested clipEnd of suggested clipValue of X is less than 3 now absolute value the definition of absolute value really means distanceMoreValue of X is less than 3 now absolute value the definition of absolute value really means distance from zero.
Can or inequalities overlap?
It is the overlap, or intersection, of the solutions for each inequality. When the two inequalities are joined by the word or, the solution of the compound inequality occurs when either of the inequalities is true. The solution is the combination, or union, of the two individual solutions.
Is greater than and or OR?
The greater than or equal to symbol is used to represent inequality in math. It tells us that the given variable is either greater than or equal to a particular value....Greater Than or Equal To.1.What is Greater Than or Equal To?2.Greater Than or Equal To Symbol3.Greater Than or Equal To Application4.FAQs on Greater Than or Equal To
How do you use or in math?
(The use of "or" in this way is sometimes referred to as "inclusive or.") For example, in mathematics, the statement "If is a real number, then either or " allows the possibility that satisfies both , as well as (which is true of the real number ).
What does an upside down U mean in math?
intersection∪ The symbol ∪ means union. Given two sets S and T, S ∪ T is used to denote the set {x|x ∈ S or x ∈ T}. For example {1,2,3}∪{3,4,5} = {1,2,3,4,5}. ∩ The symbol ∩ means intersection.
How do you tell if it's open or closed circle?
Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).
Which way does the line go if it's greater than?
Graph An Inequality With A Number Line : Example Question #1 Which line plot corresponds to the inequality below? Explanation: A closed circle indicates "greater than or equal to" or "less than or equal to," while and open circle indicates "greater than" or "less than".
How do you know if a graph is greater than or less than?
0:511:38How to Graph Greater Than or Less Than : Math Equations & MoreYouTubeStart of suggested clipEnd of suggested clipWhat we're really saying is Y is greater than X. It's not these values it's greater than theseMoreWhat we're really saying is Y is greater than X. It's not these values it's greater than these values if Y was less than X we would shade below this line.
How does one know if a compound inequality is 'And' or 'Or'?
'Or' compound inequalities produce two separate sets of possible values. 'And' inequalities show a range of values that overlap on the number line.
How are 'and/or' inequalities solved?
To solve compound inequalities, follow the same procedure as solving equations. However, since compound inequalities are made up of two inequalitie...
What does 'and/or' mean in inequalities?
An 'And' inequality is also known as a conjunction. These types of compound inequalities are written as a long inequality such as 3 > x > 9. These...
How to Solve Compound Inequalities
To solve compound inequalities, follow the same procedure as solving equations. However, since compound inequalities are made up of two inequalities, separate them and solve each inequality independently. Once the inequalities are separated, isolate the variable by using the inverse operation just like what is done to solve equations.
Graphing Compound Inequalities on a Number Line
In this section, the concept of how to graph compound inequalities on a number line will be explained. To accomplish this, pay attention to the signs. If the sign is less than or greater, then use an open circle and shade in or color everything to the right or to the left of the number.