Definition of learn online inequalities:
Inequality is described as two real numbers or two algebraic expressions are communicated with functioning a symbol as ‘<’ (less than), ‘>’ (greater than), ‘≤’ (less than or equal) and ≥ (greater than or equal). Learn online inequalities are the method of learning the inequalities by online. The various inequalities are learned online as follows,
Numerical inequalities
Literal inequalities
Double inequalities
Strict inequalities
Slack inequalities
Linear inequalities
Types :
From learning online inequalities, they can be explained as follows,
1) Numerical inequalities:
Inequalities which enclose arithmetical lone without any variables is known as numerical inequalities
Eg: 5 < 8; 5 > 4
2) Literal inequalities:
Inequalities which have one or more variables are labeled as literal inequalities.
Eg: p< 5; q > 2; m ≥ 4; n ≤ 6
3) Double inequalities:
An inequality which contains two sign (< or > or ≤ or ≥) is named as double inequality.
Eg: 2 < b < 8; 3 ≥ t ≥ 8
4) Strict inequalities:
If an inequality holds a symbol < or >, then it is learned as strict inequalities.
Eg: Ax + B < 0; Ax2 + Bx + C > 0
5) Slack inequalities:
If an inequality involves a sign ≤ or ≥, then it is called slack inequalities.
Eg: Ax + By ≤ C; Ax + By ≥ C
6) Linear inequalities:
An inequality may have one variable with linear is called linear inequality through one variable; If it contains two variables, then it is called linear inequality through two variables.
Eg: Ax + By < C; Mx + C > Y
Rules & Example for learn online inequalities :
RULES : Inequality contains the following rules for learning online,
Rule 1: All sides of an inequality can be added or subtracted by means of equal numbers without affecting the symbol.
Rule 2: Same numbers may be multiplied or divided as of both sides of an inequality.
Ex : Solve online 40 u < 200 when
(i) ‘u’ is a natural number,
(ii) ‘u’ is an integer.
Sol : Given 40 u < 200
From online,
40u / 40 < 200 / 40 (Rule 2)
u < 5.
(i) When ‘u’ is a natural number, then the statement gives,
1, 2, 3, 4
The solution set is {1, 2, 3, and 4}.
(ii) When ‘u’ is an integer, then the solution is given as,
..., – 3, –2, –1, 0, 1, 2, 3, 4
The solution set is {...,–3, –2,–1, 0, 1, 2, 3, 4}
Inequality is described as two real numbers or two algebraic expressions are communicated with functioning a symbol as ‘<’ (less than), ‘>’ (greater than), ‘≤’ (less than or equal) and ≥ (greater than or equal). Learn online inequalities are the method of learning the inequalities by online. The various inequalities are learned online as follows,
Numerical inequalities
Literal inequalities
Double inequalities
Strict inequalities
Slack inequalities
Linear inequalities
Types :
From learning online inequalities, they can be explained as follows,
1) Numerical inequalities:
Inequalities which enclose arithmetical lone without any variables is known as numerical inequalities
Eg: 5 < 8; 5 > 4
2) Literal inequalities:
Inequalities which have one or more variables are labeled as literal inequalities.
Eg: p< 5; q > 2; m ≥ 4; n ≤ 6
3) Double inequalities:
An inequality which contains two sign (< or > or ≤ or ≥) is named as double inequality.
Eg: 2 < b < 8; 3 ≥ t ≥ 8
4) Strict inequalities:
If an inequality holds a symbol < or >, then it is learned as strict inequalities.
Eg: Ax + B < 0; Ax2 + Bx + C > 0
5) Slack inequalities:
If an inequality involves a sign ≤ or ≥, then it is called slack inequalities.
Eg: Ax + By ≤ C; Ax + By ≥ C
6) Linear inequalities:
An inequality may have one variable with linear is called linear inequality through one variable; If it contains two variables, then it is called linear inequality through two variables.
Eg: Ax + By < C; Mx + C > Y
Rules & Example for learn online inequalities :
RULES : Inequality contains the following rules for learning online,
Rule 1: All sides of an inequality can be added or subtracted by means of equal numbers without affecting the symbol.
Rule 2: Same numbers may be multiplied or divided as of both sides of an inequality.
Ex : Solve online 40 u < 200 when
(i) ‘u’ is a natural number,
(ii) ‘u’ is an integer.
Sol : Given 40 u < 200
From online,
40u / 40 < 200 / 40 (Rule 2)
u < 5.
(i) When ‘u’ is a natural number, then the statement gives,
1, 2, 3, 4
The solution set is {1, 2, 3, and 4}.
(ii) When ‘u’ is an integer, then the solution is given as,
..., – 3, –2, –1, 0, 1, 2, 3, 4
The solution set is {...,–3, –2,–1, 0, 1, 2, 3, 4}
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