Hey, Inequalties are not my favourite topic, but I'd like to learn more about them. Could anyone be able to list down brif notes about them here.
Check some of these sites.
http://www.google.com/search?source=ig&hl=en&rlz=1G1GGLQ_ENUS374&q=math+inequalities&aq=f&aqi=g10&aql=&oq=&gs_rfai=CO3qSC1METIf8MYKGzQTE_bi0BQAAAKoEBU_Q3LO5
Certainly! Here are some brief notes about inequalities:
1. Inequality: An inequality is a mathematical statement that shows the relationship between two expressions and is represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to).
2. Solving Inequalities: To solve an inequality, you need to isolate the variable on one side of the inequality sign. You can use similar techniques as solving equations, but keep in mind that multiplying or dividing by a negative number changes the direction of the inequality.
3. Number Line: Inequalities can be represented graphically on a number line. If the variable x satisfies the inequality, you can shade the region to the right or left of the number line, depending on the direction of the inequality sign.
4. Compound Inequalities: Compound inequalities consist of two or more inequalities connected by the words "and" or "or". When solving compound inequalities, treat them like regular inequalities, but account for the connecting word. For "and" conditions, you need both inequalities to be true, while for "or" conditions, at least one inequality must be true.
5. Linear Inequalities: Linear inequalities involve linear expressions, such as ax + b < c or mx + b ≥ d. You can solve linear inequalities using similar techniques as linear equations, with some additional considerations for inequalities.
6. Absolute Value Inequalities: Absolute value inequalities involve the absolute value of an expression, like |x - 3| > 4. To solve absolute value inequalities, separate the equation into two cases (positive and negative) and solve them separately.
Remember, these notes provide a brief overview of inequalities. To gain a deeper understanding and practice solving inequalities, it is recommended to study specific examples and work through practice problems.