What Are Inequalities On A Number Line

Textless and textgreater Use a solid dot for. Special symbols are used in these statements.

Graphing Inequalities On A Number Line Graphing Inequalities Number Line Inequality

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

What are inequalities on a number line. In this activity students explore linear inequalities and make connections among multiple representations including algebraic expressions verbal statements number line graphs and solution sets. Do you remember what it means for a number to be a solution to an equation. Graph Inequalities on the Number Line.

Use a hollow dot for. To solve an inequality using the number line change the inequality sign to an equal sign and solve the equation. Greater than or equal to.

0 0 5 x 3 5 1. RELATED ACTIVITIES This is the first activity in a series of three. There is a dot on the two that is not filled in to show that it is not equal to 2.

Here are links to the others. For instance we may need to illustrate all. First let us define some important terminology.

It does not include -1 so draw an open circle at -1 to show that. Less than or equal to. 5.

For example 8 is a solution to the inequality. Inequalities can be represented on a number line. An inequality will use one of the inequality signs.

Leq and geq Example. 0 0 5 y 0. Y is greater than or equal to -9 The table below shows symbols you might see in an inequality.

Inequalities on a Number Line. We can display this on a number line by drawing a filled in circle at -5 and an arrow pointing to the right hand side indicating the numbers that are greater than. First draw a number line from 窶 to 5.

The first inequality is x. The focus of this video is not on solving ineq. Inequalities - Representation on the Number Line The numbers which satisfy an inequality can be illustrated on a number line.

The inequality xgeq -5 means that x can take any value that is bigger than-5 including -5. Now an inequality uses a greater than less than symbol and all that we have to do to graph an inequality is find the the number 3 in this case and color in everything above or below it. We can use the number line to solve inequalities containing and.

The arrow going down the number line shows that x is any number smaller than 2. When you read an inequality read it from left to rightjust like reading text on a page. If the symbol is or then you fill in the dot like the top two examples in the graph below.

Represent Inequalities on a Number Line. This video shows seven worked-out examples of graphing simple inequalities in one variable on a numberline. Plotting inequalities on number lines.

The inequality x 1 is read as 窶忸 is less than -1窶So the solutions of this inequality include all numbers less than -1. A solution to an inequality is a number that makes the inequality true. A solution of an equation is a value of a variable that makes a true statement when substituted into the equation.

Inequalities on a Number Line Graph this inequality x 1. Inequalities are used when a number is not equal to another value. Inequalities on a Number Line.

Then graph the point on the number line graph it as an open circle if the original inequality was. The number line should now be divided into 2 regions -- one to the left of the point and one to the right of the point. In algebra the inequality will refer to a number or range of numbers which are either greater than greater than or equal to less than or less than or equal to a fixed value.

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