Subject: Mathematics
Book: Maths Mastery
For one-variable inequalities like x>2, you shade all real values greater than 2 on a number line, using an open circle at 2 to indicate x cannot equal 2. If it were x≥2, you’d fill the circle at 2. This visual clarifies the solution set’s extent. Number-line graphing is fundamental for single-variable constraint representation, bridging arithmetic with geometry. In daily tasks like weight or budget limits, or advanced system constraints, understanding these representations ensures a quick, intuitive grasp of allowable solution ranges.
The sum of the squares of two consecutive integers is 145. What are the integers?
View QuestionThe sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?
View QuestionWhat is the sum of the first 50 positive integers?
View QuestionIf 2a + b = 10 and a - b = 4, what is the value of a?
View QuestionIf x^3 - 3x^2 + 4 = 0, what is one root of the equation?
View QuestionIf a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?
View QuestionThe LCM of 12 and 15 is:
View QuestionIf x² - 9x + 18 = 0, what are the roots of the equation?
View QuestionWhat is the cube of 4?
View QuestionA rectangle has an area of 48 cm² and a length of 8 cm. What is its width?
View Question