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Pearson Algebra 1 Common Core, 2011 View details

5. Working With Sets

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Exercise 16 Page 197

Start by solving the inequality.

{ d | d≤ - 7}

Practice makes perfect

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

7-3d≥28

SubIneq

LHS-7≥RHS-7

- 3d≥21

DivNegIneq

Divide by - 3 and flip inequality sign

d≤ - 7

To use set-builder notation, we need a variable, which in this case is d, and a statement describing the elements of the set. Knowing that d≤ - 7 is the solution to the inequality, we can write the solution in set-builder notation. { d | d≤ - 7} This can be read as the set includes any value of d such that d is less than or equal to - 7.