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Inequalities: Algebra- 1 Video Lecture | Crash Course for CAT

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FAQs on Inequalities: Algebra- 1 Video Lecture - Crash Course for CAT

1. What are inequalities in algebra?
Ans. Inequalities in algebra are mathematical expressions that compare two quantities using inequality symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
2. How do you solve inequalities algebraically?
Ans. To solve inequalities algebraically, you can perform operations such as addition, subtraction, multiplication, and division on both sides of the inequality while following the rules for inequalities. The solution will be a range of values that satisfy the given inequality.
3. What is the difference between solving equations and solving inequalities in algebra?
Ans. When solving equations in algebra, you are finding the value of the variable that makes the equation true. In contrast, when solving inequalities, you are determining a range of values for the variable that satisfy the inequality.
4. How can inequalities be represented graphically on a number line?
Ans. Inequalities can be represented graphically on a number line by plotting points that satisfy the inequality and shading the region that includes all such points. The direction of the shading depends on the type of inequality (e.g., < or >).
5. What are some common mistakes to avoid when solving inequalities in algebra?
Ans. Some common mistakes to avoid when solving inequalities include forgetting to reverse the inequality sign when multiplying or dividing by a negative number, incorrectly applying rules for inequalities, and not considering both sides of the inequality when performing operations.
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