Dear kids,Previously we have discussed about how to simplify rational numbers and in this session we will talk about inequalities and problem related to inequalities and graphing inequalities problems, of grade VII of gujarat state education board. We will learn here how to graph any inequality on the number line and how to solve them, You can take inequality solver help if needed.
An inequality is a type of linear equation in which there are two different expressions on both sides of a particular symbol either equality or the symbol of inequality. This symbol shows the relationship between these two expressions that how they are related to each other whether they are equal or have some comparative relation in them. In inequality, there are some of the symbols which are used in inequalities to show the relationship between the expressions. Say in equation 2x = 3y, here is the relation of equality between two expressions 2x and 3y. In a similar way the inequality 2 x > 3 y, shows that the value of left side expression is larger than that of right side of expression.
If an expression is greater than any other expression then in the notation, it will come in the right and smaller expression will come in the left of the inequality symbol. The inequality is also same as the number line notation. The symbol less than (<) is used to represent comparatively less value and (>) is used for larger value.
We can say here, that 4 is greater than -1, because 4 is on the right side of -1 (or -1 is on the left of 4). We write it as 4 > - 1 or as − 1 < 4. Let say for basic purpose two different expressions are as x and y, then:
y > x left side expression is greater than that of right side of expression.
y < x left side expression is less than that of right side of expression.
y = x both expression are of same value.
y >= x both of the function may be same or y may have greater value than that of value of the x.
y <= x both of the function are either of same value or y have less value than that of value of x.
Sometimes equality is also included with inequality. For example: Inequality y >= - x + 1.
Just for example we can draw an inequality y>= (2/3) x - 4 on the plane as:
The graph shows the equations as per the inequality where they are true on the number line and what values they can grab.(want to Learn more about inequality, click here),
To solve any inequality and get exact solution, we go through the graphing problem on number line. Graphing inequalities problem is the best way to solve any of the inequality. In inequality having one unknown, there may be more than one possible solution (sometimes may be infinite) for a particular inequality. Solving any of the linear inequalities involves the finding of solutions of expressions where variables are not equal on the number line. To solve any inequality we have to graph the inequality on the number line, it is similar to the graphing of linear functions.
This is all about the graphing inequalities problems and if anyone want to know about Graph and Slope of Lines in Grade VIII then they can refer to Internet and text books for understanding it more precisely. Read more maths topics of different grades such as Multistep problems in the next session here.
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