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Inequalities: Algebra- 2 Video Lecture | Crash Course for CAT

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FAQs on Inequalities: Algebra- 2 Video Lecture - Crash Course for CAT

1. What is the basic concept of inequalities in algebra?
Ans. Inequalities in algebra involve comparing two expressions using symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to) to show the relationship between the values of the expressions.
2. How do you solve inequalities algebraically?
Ans. To solve inequalities algebraically, you follow similar rules as solving equations, but with some key differences. Remember to flip the inequality sign when multiplying or dividing by a negative number and always simplify and isolate the variable on one side of the inequality sign.
3. What is the graphical representation of an inequality in algebra?
Ans. The graphical representation of an inequality in algebra is typically shown on a number line. For example, a > 3 would be graphed with an open circle at 3 and shading to the right to represent all values greater than 3.
4. How do you determine the solution set of an inequality in algebra?
Ans. The solution set of an inequality in algebra is the range of values that satisfy the given inequality. To determine the solution set, you solve the inequality as you would an equation to find the values that make the inequality true.
5. Can you have multiple solutions to an inequality in algebra?
Ans. Yes, an inequality in algebra can have multiple solutions, represented by an interval of values on the number line. This interval includes all values that satisfy the given inequality.
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