# TutorVista help in Linear Equations

Friends! Today we all are going to learn about ** Linear equations** in mathematics. Now the first question comes in our mind is, What is an Equation ? An equation is basically a condition on the variable. In simple mathematical manner we can say that any equation that when graphed produces a straight line, then the equation is called as

**Linear equation**.

The common form of a **Linear equation** in the two variables like x and y is…..

y = mx + b where x and y are two variables and m and b are two constants.

The constant m determine s the slope or gradient of that line and the constant b shows the point at which line crosses the Y-axis. Constant b also known as Y-Intercept. Now we are going to discuss about **Linear Inequality**.In graphical manner, we can say that a **linear inequality** describes an area of the coordinate plane that has a boundary line. In simple way, in **Linear Inequalities** everything on one side of a line on a graph. In mathematics, a **linear inequality** is an inequality which involves a linear function. For solving inequalities we need to learn the symbols of inequalities like the symbol < means less than and the symbol > means greater than and the symbol Ã¢ÂÂ¦ or ≤ less than or equal to etc. Let’s see about some examples of **Linear problem**s : -6 < x – 4 < 12

-6 < x – 4 < 12

add 4 to all 3 parts

-2 < x <16

divide 2 from all 3 parts

-2 < x < 16

To graph the following equation, you put an open circle or we can say mark it by a dot on the point (2,0) and then you put an open circle on the point (16,0).Then draw a line between the two.

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