Introduction to types of Compound inequalities:
Compound Inequalities are is defined as the terms of condition availability in the particular inequalities conditions are satisfied in between two or more simple inequalities joined by the terms 'and' or 'or'.
Types of compound inequalities are
There are three types of inequalities
1. And - this is the inequality that has separated the two inequalities.
2. Or - this is the inequality that has separated the two inequalities.
3. a < bx + c < d – this is the single inequality form.
And, or Types of Compound Inequalities with Examples:
And compound inequalities examples:
This is like an intersection of the particular two solutions. It is easy to solve. To find the intersection of particular two sets.
Ex:1 2x + 2 < 8 and 3x – 4 > -4
Sol: 2x < 8 – 2 3x > -4 + 4
2x < 6 3x > 0
x < 3 x > 0
The intersection and the inequalities of the solution is (x | 0 < x < 3)
Ex: 2 Solve 4x +5 > 1 and 3x – 4 < -1
Solution:4x > 1 – 5 and 3x < -1 + 4
4x > -4 and 3x < 3
x > -1 and x < 1
The intersection and the inequalities of the solution is ( x| -1 < x < 1)
Or compound inequalities :
This type is like a union of the particular two solutions inequality. It is easy to solve. To find the union of particular two points.
Ex: 2x - 3 > 7 or 3x – 2 < -5
2x > 4 or 3x < -3
X > 2 or x < -1
Algebra is widely used in day to day activities watch out for my forthcoming posts on what is a algebraic expression and math algebra solver. I am sure they will be helpful.
Types of Compound Inequalities Form:
Single compound inequalities form:
This type inequalities are the as long as the variable has to be appeared only in the middle part of the variable in their inequality.
Ex: -2 < 5x -7 < 3
Sol:Given -2 < 5x – 7 < 3 add the 7 both side of 3 parts
5 < 5x < 10 divide each of the 3 parts by 5
1 < x < 2
The answer is(x | 1 < x < 2)
Compound Inequalities are is defined as the terms of condition availability in the particular inequalities conditions are satisfied in between two or more simple inequalities joined by the terms 'and' or 'or'.
Types of compound inequalities are
There are three types of inequalities
1. And - this is the inequality that has separated the two inequalities.
2. Or - this is the inequality that has separated the two inequalities.
3. a < bx + c < d – this is the single inequality form.
And, or Types of Compound Inequalities with Examples:
And compound inequalities examples:
This is like an intersection of the particular two solutions. It is easy to solve. To find the intersection of particular two sets.
Ex:1 2x + 2 < 8 and 3x – 4 > -4
Sol: 2x < 8 – 2 3x > -4 + 4
2x < 6 3x > 0
x < 3 x > 0
The intersection and the inequalities of the solution is (x | 0 < x < 3)
Ex: 2 Solve 4x +5 > 1 and 3x – 4 < -1
Solution:4x > 1 – 5 and 3x < -1 + 4
4x > -4 and 3x < 3
x > -1 and x < 1
The intersection and the inequalities of the solution is ( x| -1 < x < 1)
Or compound inequalities :
This type is like a union of the particular two solutions inequality. It is easy to solve. To find the union of particular two points.
Ex: 2x - 3 > 7 or 3x – 2 < -5
2x > 4 or 3x < -3
X > 2 or x < -1
Algebra is widely used in day to day activities watch out for my forthcoming posts on what is a algebraic expression and math algebra solver. I am sure they will be helpful.
Types of Compound Inequalities Form:
Single compound inequalities form:
This type inequalities are the as long as the variable has to be appeared only in the middle part of the variable in their inequality.
Ex: -2 < 5x -7 < 3
Sol:Given -2 < 5x – 7 < 3 add the 7 both side of 3 parts
5 < 5x < 10 divide each of the 3 parts by 5
1 < x < 2
The answer is(x | 1 < x < 2)
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