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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

5. Working With Sets

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Exercise 14 Page 197

Start by solving the inequality.

{ r | r<11}

Practice makes perfect

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

5r+8<63

LHS-8

5r<55

.LHS /5.<.RHS /5.

r<11

To use set-builder notation, we need a variable, which in this case is r, and a statement describing the elements of the set. Knowing that r<11 is the solution to the inequality, we can write the solution in set-builder notation. { r | r < 11} This can be read as the set includes any value of r such that r is less than 11.

Subchapter links

Lesson Check p.197

Practice and Problem-Solving Exercises p.197-199

Standardized Test Prep p.199

Mixed Review p.199