Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Solving Inequalities Using Addition or Subtraction
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Exercise 24 Page 65

Remember that less than or equal to is represented by ≤.

Inequality: 6≤ n+15
Solution: n≥-9

Practice makes perfect

To write a verbal inequality in algebraic terms, we will start by identifying the inequality symbol we need to use and placing it in the center of our statement. In this case, we have less than or equal to, which is represented by the symbol ≤. ... ≤ ... On the left-hand side of the inequality, we have six. 6 ≤... On the right-hand side of the inequality, we have the sum of a number and 15. We can now form our final answer. Six is less than or equal to the sum of a number and 15 6 ≤ n + 15

Now we can solve for n.

6≤ n+15
6-15≤ n+15-15
-9≤ n
n≥-9

All real numbers greater than or equal to -9 will satisfy this inequality.