The mathematical statement in which the quantity on one side is not equal to the quantity on the other side is called an inequation.
The signs '>'; '<'; '≤≤'; '≥≥' are called signs of inequality
Solving a Linear Inequality Algebraically
Rule 1 : When a positive term is moved from one side of an inequality to another, the sign of the term becomes negative
Rule 2 : When a negative term is moved from one side of an inequality to another, the sign of the term becomes positive
Rule 3 : When each term of an inequality is multiplied or divided by the same positive number (p), the sign of the inequality remains unchanged
Rule 4 : When each term of an inequality is multiplied or divided by the same negative number (p), the sign of the inequality reverses
Rule 5 : If the sign of each term on both the sides of an inequality is changed, the sign of inequality gets reversed
Rule 6 : If both the sides of an inequality are either positive or negative, then on taking their reciprocals, the sign of inequality reverses
The mathematical statement in which the quantity on one side is not equal to the quantity on the other side is called an inequation.
The signs '>'; '<'; '≤≤'; '≥≥' are called signs of inequality
Solving a Linear Inequality Algebraically
Rule 1 : When a positive term is moved from one side of an inequality to another, the sign of the term becomes negative
Rule 2 : When a negative term is moved from one side of an inequality to another, the sign of the term becomes positive
Rule 3 : When each term of an inequality is multiplied or divided by the same positive number (p), the sign of the inequality remains unchanged
Rule 4 : When each term of an inequality is multiplied or divided by the same negative number (p), the sign of the inequality reverses
Rule 5 : If the sign of each term on both the sides of an inequality is changed, the sign of inequality gets reversed
Rule 6 : If both the sides of an inequality are either positive or negative, then on taking their reciprocals, the sign of inequality reverses
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