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This Lesson (Solving Inequalities by Adding and Subtracting) was created by by cartert(27)
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Addition property of inequalities- if any number is added to each side of a true inequality, the resulting inequality is also true.
For all number a, b, and c, the following is true. 1. if a>b, then a+c>b+c. *Example 2<7 2. if a The property is also true if > and < are replaced with > or = to, < or = to. --Variables on both sides. Solve 5p+7>6p. Then Graph the solution. 5p+7>6p Original inequaltiy. 5p+7-5p>6p-5p Subtract 5p from each side. 7>p Simplify. Since 7>p is the same a p<7, the solution set is {p|p<7}. (open circle over 7) <---<------------------------------O----------------------------> -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Verbal problems cantaining phrases like GREATER THAN or LESS THAN can ofthen be solved by using inequalities. This lesson has been accessed 10941 times. |
