Subject: Mathematics
Book: Maths Mastery
Polynomial inequalities like x²–5x+4≥0 require factoring to find critical points: (x–4)(x–1)≥0. Then test intervals around the roots x=1, x=4 to see where the product is nonnegative. Typically, you place the roots on a number line, check sign in intervals (–∞,1), (1,4), (4,∞), and choose intervals that satisfy ≥0. This approach extends to cubic or higher polynomials. In engineering or advanced math, polynomial inequalities define stability ranges or design constraints. Mastery ensures precise solutions to complex numeric intervals in real-life contexts.
A man spends 75% of his income and saves Rs. 600. What is his total income?
View QuestionA sphere has a radius of 7 cm. What is its volume?
View QuestionIf 3x = 81, what is the value of x?
View QuestionA rectangle has an area of 48 cm² and a length of 8 cm. What is its width?
View QuestionWhat is the cube of 4?
View QuestionIf a = 2 and b = 3, what is the value of (a^2 + b^2)?
View QuestionIf 2x - 3 = 7, what is the value of x?
View QuestionThe simple interest on Rs. 4000 at 5% per annum for 2 years is:
View QuestionIf a number is divisible by 9, it is also divisible by which of the following?
View QuestionIf the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?
View Question