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Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. To ‘solve’ an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality. In this unit inequalities are solved by using algebra and by using graphs.
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2 Solving Linear Inequalities. 2.1 Writing and Graphing Inequalities. 2.2 Solving Inequalities Using Addition or Subtraction. 2.3 Solving Inequalities Using Multiplication or Division. 2.4 Solving Multi-Step Inequalities.
“More than” means that the variable or quantity has to have a value more than the given limit whereas “more than or equal to” means that the variable or quantity has to be more or equal to the given limit.
Add, Added to, the sum of, more than, increased by, the total of, plus + Add x to y x + y y added to 7 7+ y The sum of a and b a + b m more than n n + m p increased by 10 p + 10 The total of q and 10 q + 10 9 plus m 9 + m Subtraction Subtract, subtract from, difference, between, less, less than, decreased by, diminished by, take away, reduced by,
Using Formulas. The main difference between algebra and arithmetic is the organized use of variables. This idea leads to reusable formulas 100, which are mathematical models using algebraic expressions to describe common applications. For example, the volume of a right circular cone depends on its radius \(r\) and height \(h\) and is modeled by ...
In mathematics, engineering and science, formulae are used to relate physical quantities to each other. They provide rules so that if we know the values of certain quantities, we can calculate the values of others. In this unit we discuss how formulae can be transposed, or transformed, or rearranged.
