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Pearson Algebra 1 Common Core, 2011 View details

5. Working With Sets

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Exercise 15 Page 197

Start by solving the inequality.

{ m | m>- 5}

Practice makes perfect

Before we can write the inequality in set-builder notation, we have to solve the inequality by isolating m.

13-9m<58

SubIneq

LHS-13

- 9m<45

DivNegIneq

Divide by (- 9) and flip inequality sign

m>- 5

To use the set-builder notation, we need a variable, which in this case is m, and a statement describing the elements of the set. Knowing that m>- 5 is the solution to the inequality, we can write the solution in set-builder notation. { m | m>- 5} This can be read as the set includes any value of m such that m is greater than - 5.