Inequalities are the main concepts in mathematical algebra.Usually inequalities are the combination of variables and constants greater than and less than sign. For example 2y -10 < 20 is a less than inequality. In this article we are going to study about inequalities lesson plan through suitable example problems.
Brief Summary about Inequalities Lesson Plan
General form of an inequality:
Inequalities take the following form,
ax +by <= c
Here x and y are variables and then ‘a’ and ‘b’ are coefficients of x and y and then c is the constant term. <= is denote the inequality sign.
The following signs are used to represent the inequalities. They are
< = less than
> = Greater than
<= less than or equal to
>= Greater than or equal to
Examples on Solving Inequalities Lesson Plan
Example 1:
Solve the following inequality 5p + 15 > 45
Solution:
The given inequality is 5p + 15 > 45
Now we have to subtract the value 15 on both sides, then we have to get the following inequality,
5p + 15 -15 > 45 - 15
That is 5p > 30
Dividing the value 5 on both sides, then we have to the following inequality,
That is p>6
That is p value is greater than 6.
Example 2:
Solving the following inequality 2r + 18 `<=` 36 and represent it on the number line
Solution:
The given inequality is 2r + 18 `<=` 36
Now we have to subtract the value 18 on both sides, then we have to get the following inequality,
2r + 18 -18 `<=` 36 -18
That is 2r `<= ` 18
Dividing the value 2 on both sides, then we have to the following inequality,
That is r`<=` 9
That is r value is less than or equal to 9.
That is r=9 and r is less than 9.
Representation of number line:
Inequalities on a number line
First we have to draw the number line and mark the values. Here r is less than or equal to 9 so we can first shade the value 9 and then draw the arrow in the direction of negative direction. Because it is the less then (<) value.
These are the important problems in the inequality lesson plan.