Today we will be studying Graphing Solutions Of Inequalities, Graph Solution Of Inequalities, Measurements-
To understand Graphing solutions of inequalities, Graph solution of inequalities, Measurements we must first understand the meaning of inequalities, inequalities can be defined as that one expression can be greater than or less than some other expression, the mathematical symbols used in inequalities are less than(<), greater than (>), less than equals to (≤) and greater than equals to (≥). The inequalities can transformed in many other ways. The direction of inequalities does not change if any number is added to both sides or if number is subtracted from both sides or both sides are multiplied and divided on both sides.
An inequality is of the form y > mx + b or y < mx + b, here x and y are the coordinates and 'm' is the slope and 'b' is the intercept.
Examples of inequalities-
y ≤ 2x + 3 or 2x – 3y < 6
As we have understood the meaning of inequalities, so now we will try to plot some of the inequalities on a graph. The examples are show below-
1)Let us take an example y ≤ 2x + 3 and plot it on the graph.
First we will plot the equal part of inequality that is y = 2x + 3, it is a straight line so after plotting
the graph will look like
This graph is for the equality part that is y = 2x + 3 but we also have to plot less than part of the inequality. To plot the less than part that is y < 2x + 3 we just shade the region.
So either we shade the region below the line on region above the, in this inequality we will shade the region below the line as 'y' is less than 2x + 3 .So after shading the region below the line graph will look like:
So this is how we see Graph solution of inequalities.
In the next session we are going to discuss Measurements.
To understand Graphing solutions of inequalities, Graph solution of inequalities, Measurements we must first understand the meaning of inequalities, inequalities can be defined as that one expression can be greater than or less than some other expression, the mathematical symbols used in inequalities are less than(<), greater than (>), less than equals to (≤) and greater than equals to (≥). The inequalities can transformed in many other ways. The direction of inequalities does not change if any number is added to both sides or if number is subtracted from both sides or both sides are multiplied and divided on both sides.
An inequality is of the form y > mx + b or y < mx + b, here x and y are the coordinates and 'm' is the slope and 'b' is the intercept.
Examples of inequalities-
y ≤ 2x + 3 or 2x – 3y < 6
As we have understood the meaning of inequalities, so now we will try to plot some of the inequalities on a graph. The examples are show below-
1)Let us take an example y ≤ 2x + 3 and plot it on the graph.
First we will plot the equal part of inequality that is y = 2x + 3, it is a straight line so after plotting
the graph will look like
This graph is for the equality part that is y = 2x + 3 but we also have to plot less than part of the inequality. To plot the less than part that is y < 2x + 3 we just shade the region.So either we shade the region below the line on region above the, in this inequality we will shade the region below the line as 'y' is less than 2x + 3 .So after shading the region below the line graph will look like:
So this is how we see Graph solution of inequalities.
In the next session we are going to discuss Measurements.
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