Subject: Mathematics
Book: Maths Mastery
Inequalities define ranges of possible solutions rather than a single value, typically seen in forms like ax + b < c. Solving them mirrors linear equation methods—subtracting, adding, multiplying, or dividing—while noting that multiplying or dividing by a negative number reverses the inequality sign. For instance, to solve –2x + 4 > 10, first subtract 4 from both sides, getting –2x > 6; then dividing by –2 flips “>” to “<”, yielding x < –3. Inequalities underpin budgeting constraints, capacity limits, or speed restrictions, making them critical for real-life logic and advanced fields like optimization.
A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
View QuestionHow many diagonals does a pentagon have?
View QuestionIf log(100) = 2 and log(10) = 1, what is log(1000)?
View QuestionA man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?
View QuestionThe LCM of 12 and 15 is:
View QuestionA sphere has a radius of 7 cm. What is its volume?
View QuestionThe area of an equilateral triangle with side length 6 cm is:
View QuestionThe sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?
View QuestionA man spends 75% of his income and saves Rs. 600. What is his total income?
View QuestionIf a:b = 7:9 and b:c = 5:6, what is a:c?
View Question