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For inequalities we contain a similar notation. Based on the complexity of the inequality the solution set might be a single number or it might be a range of numbers. If it is just one single number then we uses the same notation as we do for equations. If the solution set is a range of numbers, such as we looked at above is, we will use set builder notation. Following is the solution set for the inequality we looked at above.
{z | z ≥ -5}
It is read as : "The set of all z such that z is greater than or equal to -5".
Mostly inequalities that we will be looking at will have easy enough solution sets that we frequently just shorthand this as,
z ≥ -5
If sin? = 1/2 , show that 3cos?-4cos 3 ? = 0. Ans: Sin ? = ½ ⇒ ? = 30 o Substituting in place of ? =30 o . We get 0.
a=halfbh a=17 b=5
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