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.
If a = 2 and b = 3, what is the value of (a^2 + b^2)?
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View QuestionIf the sum of three consecutive integers is 96, what are the integers?
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View QuestionIf sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?
View QuestionIf a person can type 45 words per minute, how many words can they type in 2 hours?
View QuestionA number is increased by 20% and then decreased by 20%. What is the net change?
View QuestionIf a:b = 2:3 and b:c = 4:5, what is a:c?
View QuestionIf x + 1/x = 5, what is the value of x^2 + 1/x^2?
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