Subject: Mathematics
Book: Maths Mastery
For a two-variable inequality such as y<2x+3, first graph the line y=2x+3. Because the inequality is strict (<), draw a dashed line. Then pick a test point not on the line (often (0,0)) to see which side satisfies the inequality. Shade that region. If y≤2x+3, use a solid line. This technique extends to design problems, feasible regions in linear programming, or any scenario bounding solutions in 2D. Consistent application ensures clarity on possible (x,y) pairs within real-world constraints like supply-demand, cost/time tradeoffs, or geometric regions.
What is the square root of 0.25?
View QuestionA man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?
View QuestionA cone has a base radius of 7 cm and height of 24 cm. What is its volume?
View QuestionIf a square has a perimeter of 64 cm, what is its area?
View QuestionIf 2x = 16, what is the value of x?
View QuestionWhat is the area of a circle with a diameter of 14 cm?
View QuestionIf a+b = 10 and ab = 21, what is the value of (a-b)^2?
View QuestionIf the sum of three consecutive integers is 72, what are the integers?
View QuestionIf 5x - 2 = 13, what is the value of x?
View QuestionIf a:b = 3:4 and b:c = 5:6, what is a:c?
View Question